Conversion between Improper and Mixed Fraction

Q. Convert $3\frac{2}{3}$ into improper fraction.

1. $\frac{9}{3}$
2. $\frac{2}{3}$
3. $\frac{11}{3}$
4. $\frac{7}{3}$

Q.

All improper fractions can be represented as mixed fractions.

1. True

2. False

Q.

Write in decimal form: $\frac{17}{8}$.

Q. Pictorial representation of $3\times \frac{2}{3}$ is .....

1. a
2. b
3. c
4. d

Q.

If you add $\frac{41}{4}$ to $13\frac{5}{3}$, you will get -

1. 

2. 

3. 

4. 

Q.

Find $\frac{1}{4}$ of $\frac{3}{5}$

Q.

Convert the following mixed fractions into improper fractions.

$2\frac{4}{15}$

Q. If $\frac{999}{13}$ is represented in form of $a\frac{b}{13}$, then find the value of a and b.

Q.

Convert the following mixed fractions into improper fractions.

$17\frac{2}{9}$

Q.

$16\frac{2}{10}$ as a decimal is $16.02$

1. True
2. False

Q.

Write the following using numbers, literals and signs of basic operations:

One-sixth of sum of $a$ and $b$.

Q.

Subtract :

$\frac{9}{22}-\frac{3}{22}$

Q.

Convert the following mixed fractions into improper fractions.

$3\frac{6}{15}$

Q.

$\text{Represent}\frac{27}{4}\text{as a sum of a whole number}$
$\text{and a proper fraction.}$

1. $6+\left(\frac{1}{4}\right)$

2. $6+\left(\frac{3}{4}\right)$

3. $5+\left(\frac{1}{4}\right)$

4. $20+\left(\frac{1}{2}\right)$

Q.

$\frac{3}{7}of\frac{2}{5}$ is equal to

1. $\frac{5}{12}$

2. $\frac{5}{35}$

3. $\frac{1}{35}$

4. $\frac{6}{35}$

Q. Pictorial representation of $3\times \frac{2}{3}$ is .....

1. a
2. b
3. c
4. d

Q.

Find the product of : $\frac{5}{9}$$\times$$3\frac{6}{7}$.

Q.

If $3\frac{p}{q}=\frac{11}{3}$, where $3\frac{p}{q}$ is a mixed fraction in which 3 is the whole number part and $\frac{p}{q}$ is the fractional part, then the value of $\frac{p}{q}$ is:

1. 2/3

2. 3/2

3. 11/9

4. 9/11

Q.

Find the value of $b$, if it is given that

$3\frac{b}{4}=\frac{15}{4}$ .

1. 2
2. 1
3. 3
4. 4

Q.

2 multiplied by $\frac{1}{2}$= ?,
3 multiplied by $\frac{1}{4}$= ?,
7 multiplied by $\frac{1}{3}$= ? and
17 multiplied by $\frac{1}{5}$= ?
Simplify your answer and write it as a proper fraction or as a whole or mixed number. [3 MARKS]

Q.

Simplify:

$\frac{6}{17}+\frac{4}{17}+\frac{2}{17}$

Q.

Jimmy learnt the concepts of mixed fractions and improper fractions. He had a thought and wanted to confirm it with his teacher. He wrote the following steps on a paper:

$9\frac{3}{4}=9+\frac{3}{4}=(8+1)+\frac{3}{4}=8+(1+\frac{3}{4})=8+\frac{7}{4}=8\frac{7}{4}$

Jimmy says that $8\frac{7}{4}$ is a mixed fraction. Choose the correct option(s):

1. 

2. 

3. Jimmy is incorrect because the whole number part and the fractional parts are not numerically the same in both the fractions

4. Jimmy is correct because the math he had done has no errors

Q.

The mixed fraction form of '9/2' is

1. 6½

2. 4½

3. 2⅗

4. 1⅔

Q.

Write each of the following fractions in improper fractions :

$5\frac{1}{4}$

Q.

Write $103+\frac{2}{100}+\frac{7}{1000}$ in terms of decimals.

Q.

Find the value of a if,

$3\frac{a}{4}=\frac{13}{4}$

1. $1$

2. $6$

3. $3$

4. $4$

Q.

Write the statement for the following equation:
$\frac{z}{5}-5=14$

Q.

Convert $\frac{68}{11}$ to mixed fraction.

1. $11\frac{2}{6}$

2. $6\frac{2}{11}$

3. $6\frac{2}{3}$

4. $5\frac{2}{11}$

Q.

Represent $\frac{27}{4}$ as sum of a whole number and a proper fraction.

1. 6 + (1/4)

2. 20 + (1/2)

3. 6 + (3/4)

4. 5 + (1/4)

Q.

Fill in the blanks:

$.......+90+5+\frac{2}{10}=195.2$