Addition of Unlike Fractions

Q.

Convert $\frac{3}{4}$ into decimal.

Q.

What are the importance of Fractions and Decimals in our everyday life?

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. 8

2. 12

3. 3

4. 5

Q.

If $\frac{999}{13}$ is represented in form of $a\frac{b}{13}$, then the values of a and b are:

1. $a=76$ and $b=11$
2. $a=72$ and $b=13$
3. $a=76$ and $b=13$

4. $a=91$ and $b=11$

Q.

A bag contains sugar that weighs $6\frac{7}{9}$ kg and rice that weighs $7\frac{5}{6}$.Find the total weight of the bag ?

1. $4\frac{11}{18}$

2. $14\frac{11}{18}$

3. $14\frac{13}{18}$

4. $14\frac{23}{18}$

Q. $\frac{1}{2}+\frac{3}{4}=?$

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

Q.

Which of the following options is correct about improper fraction?

1. In an improper fraction, the numerator is less than denominator and numerator is greater than 0.

2. In an improper fraction, the numerator is always equal to the denominator.

3. In an improper fraction, the numerator is greater than or equal to the denominator and denominator should not be equal to zero.

4. In an improper fraction, the numerator is always greater than the denominator.

Q.

If $\frac{3}{8}$ = $\frac{a}{10}$ + $\frac{b}{100}$ + $\frac{c}{1000}$

find the value of a , b and c

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

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

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

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

Q. A badminton player won $6$ games and lost $4$. The fraction of the games he won is

1. $\frac{6}{4}$
2. $\frac{4}{6}$
3. $\frac{6}{10}$
4. $\frac{5}{10}$

Q.

On simplification of $2\frac{1}{2}+3\frac{1}{6}-4\frac{1}{3}$, we get

1. $\frac{4}{3}$

2. $\frac{1}{48}$

3. $\frac{11}{12}$

4. $\frac{1}{8}$

Q.

$\frac{1}{2}+\frac{3}{4}=?$

1. $\frac{4}{5}$

2. $\frac{3}{4}$

3. $\frac{5}{6}$

4. $\frac{5}{4}$

Q.

Add the following fractions :

$\frac{20}{17}+\frac{14}{17}$

Q.

Add the following fractions :

$\frac{1}{8}+\frac{13}{8}$

Q. Find the values of $3\frac{4}{7}\times 2\frac{2}{5}\times 1\frac{3}{4}$

1. 1
2. 5
3. 15
4. 10

Q.

If $\frac{a+b}{a-b}$ = $\frac{9}{13}$

Find the value of $\frac{a}{b}$

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

2. $\frac{22}{11}$

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

4. $\frac{13}{9}$

Q.

Which of the following algebraic expressions explain the following

$\frac{1}{2}$ + $\frac{1}{3}$ = $\frac{5}{6}$

1. $\frac{1}{a}$ = $\frac{b}{ab}$ and $\frac{1}{b}$ = $\frac{a}{ab}$

2. $\frac{b+a}{ab}$

3. $\frac{ba+2a}{ab}$

4. $\frac{2b+a}{ab}$

Q.

If you add $\frac{101}{7}$ to $\frac{99}{7}$ , you will get ___.

1. $\frac{198}{7}$

2. $\frac{199}{7}$

3. $\frac{200}{7}$

4. $\frac{201}{7}$

Q. The improper fraction of $6\frac{2}{3}$ is

1. $\frac{20}{3}$
2. $\frac{19}{3}$
3. $\frac{17}{3}$
4. $\frac{16}{3}$

Q. What fraction lies exactly halfway between $\frac{2}{3}$ and $\frac{3}{4}$?

1. $\frac{5}{6}$
2. $\frac{17}{4}$
3. $\frac{7}{12}$
4. $\frac{3}{5}$

Q.

Find the sum of $\frac{41}{4}$ and $13\frac{5}{3}$.

1. $24\frac{7}{12}$

2. $24\frac{11}{12}$

3. $24\frac{21}{12}$

4. $24\frac{9}{12}$

Q. $2\times \frac{1}{2}\left[11+5\right]4+11$

Q.

A certain game was played by 18 players as a team – in which $(\frac{2}{3}{)}^{rd}$ of the team actually played the game, while the rest were reserve players – ready to replace the main members who got injured. How many reserve players did this team have?

1. 12

2. 6

3. 

4. 

Q.

If $\frac{5}{8}=\frac{20}{p}$, then value of $p$ is

1. $23$

2. $2$

3. $32$

4. $16$

Q.

Represent $\frac{1}{4}$ + $\frac{1}{8}$ in decimals.

1. 0.225

2. 0.125

3. 0.375

4. 0.625

Q. A badminton player won 6 games and lost 4. The fraction of the games he won is

1. $\frac{6}{4}$
2. $\frac{4}{6}$
3. $\frac{6}{10}$
4. $\frac{5}{10}$

Q. Compare using < , >
$\frac{8}{13}$ $\square$ $\frac{2}{3}$

Q. The improper fraction of $6\frac{1}{5}$ is

1. $\frac{31}{5}$
2. $\frac{29}{5}$
3. $\frac{28}{5}$
4. $\frac{6}{5}$