Sasi Math (Revised for 1024)

Scroll:Add and subtract fractions >> Add and subtract fractions with unlike denominators: word problems >> saq (3858)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

During a film, Chithra ate $\frac{1}{4}$ of a handful of snack mix, and Swathi ate $\frac{1}{8}$ of a handful. How much more did Chithra eat

Simplify your answer.

handful

Answer:_______________

A spaceship travelled $\frac{1}{2}$ of a light-year and stopped at a space station. Then it travelled $\frac{3}{8}$ of a light-year further to a planet. How far did the spaceship travel in all

Simplify your answer and write it as a proper fraction or as a whole or mixed number.

light-year

Answer:_______________

When Moorthi had one cat, he needed to serve $\frac{1}{6}$ of a tin of cat food each day. Now that Moorthi has adopted a second cat, he needs to serve a total of $\frac{2}{3}$ of a tin each day. How much extra food is needed to feed the second cat

Simplify your answer.

cans

Answer:_______________

When Karna looked at his mobile phone bill for the month, he saw that he had spent $\frac{7}{12}$ of his minutes talking to his mother and $\frac{1}{3}$ of his minutes talking to his best friend. What fraction of the minutes did Karna spend talking to either his mum or his best friend

Simplify your answer and write it as a proper fraction or as a whole or mixed number.

of the minutes.

Answer:_______________

Aravindh began his pizza delivery route with $\frac{7}{8}$ of a tank of petrol in his car. When he made it back to the pizzeria, $\frac{1}{2}$ of a tank of petrol was left. How much petrol did Aravindh use

Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Answer:_______________

Keerthi placed an order for $\frac{5}{12}$ of a sack of brown lentils and $\frac{1}{6}$ of a sack of green lentils. How much more brown lentils did Keerthi order

Simplify your answer.

sacks

Answer:_______________

At Haritha's Closet, $\frac{1}{2}$ of the clothes are white and another $\frac{5}{12}$ are black. What fraction of the clothes are either black or white

Simplify your answer

of the cloths

Answer:_______________

Of the houses in Marshall's neighbourhood, $\frac{3}{10}$ are indigo and another $\frac{2}{5}$ are red. What fraction of the houses are either indigo or red

Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Answer:_______________

While making pastries, a bakery used $\frac{3}{4}$ of a bag of wheat flour and $\frac{3}{8}$ of a bag of white flour. How many bags of flour did the bakery use in all

Simplify your answer

bags

Answer:_______________

10)

Chithra family spends $\frac{1}{10}$ of their budget on groceries and another $\frac{1}{2}$ going out to eat. Altogether, what fraction of their budget does the Chithra family spend on food

Simplify your answer and write it as a proper fraction or as a whole or mixed number.

of the budget

Answer:_______________

During a film, Chithra ate $\frac{1}{4}$ of a handful of snack mix, and Swathi ate $\frac{1}{8}$ of a handful. How much more did Chithra eat

Simplify your answer.

Answer: $\frac{1}{8}$ handful

SOLUTION 1 :

Find how much more Mia ate by subtracting $\frac{1}{8}$ from $\frac{1}{4}$ .

You can use 8 as the common denominator.

Multiply the numerator and the denominator of

by 2 to find an equivalent fraction.

1 × 2

4 × 2

Now subtract the fractions. Subtract the numerators and keep the denominators the same.

–

is written in simplest form.

Chithra ate $\frac{1}{8}$ of a handful more than Swathi.

Answer: $\frac{7}{8}$ light-year

SOLUTION 1 :

Find the distance the spaceship travelled by adding $\frac{1}{2}$ and $\frac{3}{8}$ .

You can use 8 as the common denominator.

Multiply the numerator and the denominator of

by 4 to find an equivalent fraction.

1 × 4

2 × 4

Now add the fractions. Add the numerators and keep the denominators the same.

is written in simplest form.

The spaceship travelled $\frac{7}{8}$ of a light-year in all.

Answer: $\frac{1}{2}$ cans

SOLUTION 1 :

Find how much extra food is needed to feed the second cat by subtracting $\frac{1}{6}$ from $\frac{2}{3}$ .

You can use 6 as the common denominator.

Multiply the numerator and the denominator of

by 2 to find an equivalent fraction.

2 × 2

3 × 2

Now subtract the fractions. Subtract the numerators and keep the denominators the same.

–

Write the answer in simplest form. Divide both the numerator and the denominator by 3.

3 ÷ 3

6 ÷ 3

Now write the answer.

–

Moorthi needs $\frac{1}{2}$ of a tin of extra food to feed the second cat.

Answer: $\frac{11}{12}$ of the minutes.

SOLUTION 1 :

Find the fraction of the minutes spent talking to either his mum or his best friend by adding $\frac{7}{12}$ and $\frac{1}{3}$ .

You can use 12 as the common denominator.

Multiply the numerator and the denominator of

by 4 to find an equivalent fraction.

1 × 4

3 × 4

Now add the fractions. Add the numerators and keep the denominators the same.

is written in simplest form.

Karna spent $\frac{11}{12}$ of the minutes talking to either his mum or his best friend.

Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Answer: $\frac{3}{8}$

SOLUTION 1 :

Find the amount of petrol used on the delivery route by subtracting $\frac{1}{2}$ from $\frac{7}{8}$ .

You can use 8 as the common denominator.

Multiply the numerator and the denominator of

by 4 to find an equivalent fraction.

1 × 4

2 × 4

Now subtract the fractions. Subtract the numerators and keep the denominators the same.

–

is written in simplest form.

Aravindh used $\frac{3}{8}$ of a tank of petrol.

Keerthi placed an order for $\frac{5}{12}$ of a sack of brown lentils and $\frac{1}{6}$ of a sack of green lentils. How much more brown lentils did Keerthi order

Simplify your answer.

Answer: $\frac{1}{4}$ sacks

SOLUTION 1 :

Find how much more brown lentils Keerthi ordered by subtracting $\frac{1}{6}$ from $\frac{5}{12}$ .

You can use 12 as the common denominator.

Multiply the numerator and the denominator of

by 2 to find an equivalent fraction.

1 × 2

6 × 2

Now subtract the fractions. Subtract the numerators and keep the denominators the same.

–

Write the answer in simplest form. Divide both the numerator and the denominator by 3.

3 ÷ 3

12 ÷ 3

Now write the answer.

–

Keerthi ordered $\frac{1}{4}$ of a sack more brown lentils than green lentils.

At Haritha's Closet, $\frac{1}{2}$ of the clothes are white and another $\frac{5}{12}$ are black. What fraction of the clothes are either black or white

Simplify your answer

Answer: $\frac{11}{12}$ of the cloths

SOLUTION 1 :

Find the fraction of the clothes that are either black or white by adding $\frac{1}{2}$ and $\frac{5}{12}$ .

You can use 12 as the common denominator.

Multiply the numerator and the denominator of

by 6 to find an equivalent fraction.

1 × 6

2 × 6

Now add the fractions. Add the numerators and keep the denominators the same.

is written in simplest form.

The fraction of the clothes that are either black or white is $\frac{11}{12}$ .

Answer: $\frac{7}{10}$

SOLUTION 1 :

Find the fraction of the houses that are either indigo or red by adding $\frac{3}{10}$ and $\frac{2}{5}$ .

You can use 10 as the common denominator.

Multiply the numerator and the denominator of

by 2 to find an equivalent fraction.

2 × 2

5 × 2

Now add the fractions. Add the numerators and keep the denominators the same.

is written in simplest form.

The fraction of the houses that are either indigo or red is $\frac{7}{10}$ .

While making pastries, a bakery used $\frac{3}{4}$ of a bag of wheat flour and $\frac{3}{8}$ of a bag of white flour. How many bags of flour did the bakery use in all

Simplify your answer

Answer: 1 $\frac{1}{8}$ bags

SOLUTION 1 :

Find the amount of flour the bakery used by adding $\frac{3}{4}$ and $\frac{3}{8}$ .

You can use 8 as the common denominator.

Multiply the numerator and the denominator of

by 2 to find an equivalent fraction.

3 × 2

4 × 2

Now add the fractions. Add the numerators and keep the denominators the same.

Divide 9 by 8.

9 ÷ 8 = 1 R1

is written in simplest form.

Now write the answer.

The bakery used 1 $\frac{1}{8}$ bags of flour.

10)

Answer: $\frac{3}{5}$ of the budget

SOLUTION 1 :

Find the fraction of the budget spent on food by adding $\frac{1}{10}$ and $\frac{1}{2}$ .

You can use 10 as the common denominator.

Multiply the numerator and the denominator of

by 5 to find an equivalent fraction.

1 × 5

2 × 5

Now add the fractions. Add the numerators and keep the denominators the same.

Write the answer in simplest form. Divide both the numerator and the denominator by 2.

6 ÷ 2

10 ÷ 2

Now write the answer.

The Chithra family spends $\frac{3}{5}$ of their budget on food.