Interconversion between Improper and Mixed Fraction

Q.

Question 13.
$\frac{11}{7}$ can be expressed in the form
(a) 7$\frac{1}{4}$
(b) 4$\frac{1}{7}$
(c) 1$\frac{4}{7}$
(d) 11$\frac{1}{7}$

Q.

Question33.
$\frac{87}{7}$ is equal to the mixed fraction ___.

Q.

Question 79.

Express 6$\frac{2}{3}$ as an improper fraction.

Q.

Question 103.
Grip size of a tennis racquet is $11\frac{9}{80}$ cm. Express the size as and improper fraction.

Q.

Question 14.
The mixed fraction 5$\frac{4}{7}$ can be expressed as
(a) $\frac{33}{7}$
(b) $\frac{39}{7}$
(c) $\frac{33}{4}$
(d) $\frac{39}{4}$

Q.

Question 86

Convert 2435m to km and express the result as mixed fraction.

Q.

Convert 2009 paise to rupees and express the result as a mixed fraction.

Q.

Question 90

Write $\frac{129}{8}$ as a mixed fraction.

Q.

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

1. 76, 11

2. 86, 11

3. 86, 12

4. 76, 12

Q.

Question 121.
Neelam's father needs $1\frac{3}{4}$ m of cloth for the skirt of Neelam's new dress and $\frac{1}{2}$ m for the scarf. How much cloth must he buy in all?

Q. Match the following fractions with their types.

1. Mixed fraction
2. Proper fraction
3. Improper fraction

Q. The mixed fraction 5$\frac{4}{7}$ can be expressed as ______ .

1. $\frac{33}{7}$
2. $\frac{39}{7}$
3. $\frac{33}{4}$
4. $\frac{39}{4}$

Q.

Question 32.
8$\frac{2}{7}$ is equal to the improper fraction ___.

Q.

Express the following as improper fractions:

(a) (b) (c)

(d) (e) (f)

Q.

Solve: $\frac{7}{9}-\frac{3}{4}$.

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

1. $6+\frac{1}{4}$
2. $2+\frac{7}{4}$
3. $6+\frac{3}{4}$
4. $20+\frac{7}{4}$

Q.

Write $\frac{20}{15}$ as a mixed number

Q. $\frac{11}{7}$ can be expressed as _____.

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

Q. The fish caught by Neetu was of weight $3\frac{3}{4}$ kg and the fish caught by Narendra was of weight $2\frac{1}{2}$ kg. How much more did Neetu's fish weight than that of Narendra?

1. $1\frac{1}{2}$ kg
2. $1\frac{1}{3}$ kg
3. $1\frac{2}{3}$ kg
4. $1\frac{1}{4}$ kg

Q.

Solve: $\frac{7}{8}-\frac{3}{4}$.

Q.

Express the following as mixed fraction.

$\frac{11}{3}.$

Q.

The value of $a$ if $3\frac{a}{4}=\frac{15}{4}$ is .

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

Q.

Solve: $\frac{7}{12}-\frac{1}{8}$.

Q. $10\frac{3}{8}$ as an improper fraction equals .

1. $\frac{83}{8}$
2. $\frac{30}{8}$
3. 1038
4. $\frac{38}{3}$

Q.

Convert the following mixed fractions into improper fractions.

$10\frac{1}{17}$

Q. $6\frac{2}{5}$ when expressed as an improper fraction equals .

1. $\frac{32}{6}$
2. $\frac{32}{5}$
3. $\frac{28}{5}$
4. $\frac{28}{6}$

Q. Which of the following fractions are proper fractions?

1. $\frac{3}{8}$
2. $\frac{8}{23}$
3. $\frac{33}{8}$
4. $\frac{6}{23}$
5. $\frac{20}{9}$
6. $\frac{53}{54}$
7. $\frac{4}{13}$
8. $\frac{8}{3}$

Q. Dev and Ben bought $2\frac{1}{2}$ kg and $3\frac{1}{4}$ kg of sugar, respectively. If sugar costs ₹32 per kg, what is the total amount they would have to pay?​

1. ₹164
2. ₹132
3. ₹156
4. ₹184

Q. Which of the following fractions are proper fractions?

1. $\frac{20}{9}$
2. $\frac{8}{23}$
3. $\frac{3}{8}$
4. $\frac{8}{3}$
5. $\frac{4}{13}$
6. $\frac{6}{23}$
7. $\frac{53}{54}$
8. $\frac{33}{8}$

Q. Can fractions be negative?