Addition of Unlike Fractions

Q. Express $\frac{3}{5}$ in the form of decimal fraction.

Q.

Multiply and reduce to lowest form (if possible):$\left(\frac{2}{3}\right)\times 2\left(\frac{2}{3}\right)$.

Q.

Multiply and reduce to the lowest form (if possible): $\left(\frac{9}{5}\right)\times \left(\frac{3}{5}\right)$

Q.

Find the sum: $\frac{3}{10}+\frac{4}{15}$

1. $\frac{17}{30}$

2. $\frac{15}{30}$

3. $\frac{29}{30}$

4. $\frac{19}{30}$

Q. Sam purchased $2\frac{1}{4}\text{kg}$ of sugar from one shop and $3\frac{1}{2}\text{kg}$ of sugar from another shop. How much sugar did he buy in all?

1. $5\frac{1}{8}\text{kg}$
2. $5\frac{3}{4}\text{kg}$
3. $2\frac{3}{4}\text{kg}$
4. $\frac{23}{8}\text{kg}$

Q.

Solve

$11-\frac{2}{3}$

Q.

Fill in the blank box in each of the following:

$\frac{3}{4}=\frac{\left[\right]}{28}$

Q.

Solve: $\frac{3}{5}-\frac{6}{15}$.

Q. Patrick drank $\frac{3}{4}$ liter of water before jogging. He drank $\frac{4}{5}$ liter of water after his jog. How much water did Patrick drink altogether? Choose your answer as a mixed fraction.

1. $\frac{31}{20}$
2. $1\frac{13}{20}$
3. $1\frac{9}{20}$
4. $1\frac{11}{20}$

Q. Add the following numbers:
$\frac{1}{3}$ and $\frac{1}{4}$

1. $\frac{6}{12}$
2. $\frac{7}{12}$
3. $\frac{8}{12}$
4. $\frac{7}{4}$

Q. Add the following fractions:

$\frac{5}{8},\frac{2}{16}$

1. $\frac{6}{16}$
2. $\frac{3}{4}$
3. $\frac{4}{8}$
4. $\frac{4}{6}$

Q.

Arrange the following fractions in increasing order $:$

$\frac{1}{2},\frac{3}{2},\frac{1}{5},\frac{2}{7},\frac{1}{14}$

Q.

Find the sum:
$\frac{5}{14}+\frac{4}{28}+\frac{6}{7}$

1. $\frac{13}{14}$

2. $\frac{17}{28}$

3. $\frac{19}{28}$

4. $\frac{19}{14}$

Q.

Find the sum:
$\frac{3}{28}+\frac{1}{21}$

1. $\frac{17}{84}$

2. $\frac{11}{84}$

3. $\frac{13}{84}$

4. $\frac{15}{84}$

Q. If Alex ate $\frac{2}{4}th$ of the cheese pizza, $\frac{3}{8}th$ of the onion pizza, and $\frac{6}{16}th$ of the tomato pizza then what part of pizza is left on each plate?

Q. Add the following fractions:

$\frac{15}{2}and\frac{4}{3}$

1. $\frac{53}{6}$
2. $\frac{53}{3}$
3. $\frac{55}{3}$
4. $\frac{51}{6}$

Q. Divide ₹ 4340 between A, B and C so that A‘s share : B’s share : C’ share $=\frac{1}{2}:\frac{1}{3}:\frac{1}{5}$

Q.

Find the difference:
$\frac{7}{10}$ $-$ $\frac{8}{25}$

1. $\frac{7}{25}$

2. $\frac{17}{50}$

3. $\frac{3}{25}$

4. $\frac{19}{50}$

Q.

Fill in the blank box in each of the following:

$\frac{1}{3}=\frac{\left[\right]}{18}$

Q.

Solve

$\frac{8}{7}-\frac{5}{8}$

Q. L.C.M. of two co-prime numbers is their

1. sum
2. product
3. quotient
4. difference

Q. Subtract: $\frac{4}{5}-\frac{1}{3}$
$\left[2\right]$

Q.

If $\frac{3}{8}$ = $\frac{a}{10}$ + $\frac{b}{100}$ + $\frac{c}{1000}$
find the value of a , b and c.

1. a = 3 , b = 7 and c = 5

2. a = 7 , b = 5 and c = 3

3. a = 5 , b = 7 and c = 3

4. a = 7 , b = 3 and c = 5

Q.

What is the sum of $5\frac{5}{3}+7\frac{5}{2}$ ?

1. $15\frac{6}{7}$

2. $16\frac{1}{6}$

3. $14\frac{7}{6}$

4. $17\frac{1}{6}$

Q.

How many parts should be shaded in figure B to make it represent the same fraction as the unshaded part of figure A?

1. 3

2. 12

3. 8

4. 5

Q. Each packet of wheat weighs $\frac{125}{5}oz$ and each packet of rice weighs $\frac{150}{3}oz$. What is the total weight of 1 packet of wheat and 1 packet of rice?

1. $\frac{1125}{15}oz$
2. $\frac{15}{525}oz$
3. $\frac{1125}{10}oz$
4. $\frac{525}{15}oz$

Q. Emma collected honey from 3 beehives. From the first hive, she collected $\frac{1}{3}$ gallon of honey. The last two hives yielded $\frac{1}{5}$ gallon each. How many gallons of honey did Emma collect in total?

1. $\frac{8}{15}$
2. $\frac{11}{15}$
3. $\frac{2}{3}$
4. $\frac{4}{3}$

Q.

I spent $\frac{7}{10}$hour on one day and $\frac{11}{15}$hour on the second day to finish my homework. How much time did I spend to do my homework in two days?

Q. Which of the following fractions is the largest fraction?

1. $\frac{6}{9}$
2. $\frac{3}{4}$
3. $\frac{5}{9}$
4. $\frac{4}{6}$

Q. _______ should be added to $5\frac{1}{5}$ to get $6.$

1. $45$
2. $\frac{4}{5}$
3. $\frac{1}{5}$
4. $\frac{26}{5}$