Interconversion between Improper and Mixed Fraction

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.

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

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

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

Q.

Find the value of a if,

$3\frac{a}{4}=\frac{15}{4}$

1. $3$

2. $4$

3. $1$

4. $2$

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

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

3. 

4. 

Q.

If $3\frac{p}{q}=\frac{11}{3}$, where $3\frac{p}{q}$ is a mixed fraction, then the value of $\frac{p}{q}$ is:

1. 2/3

2. 11/9

3. 3/2

4. 9/11

Q. The fraction (20/3) is a _____

1. 1⅔
2. 6⅔
3. 2⅗
4. 7⅓

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

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

Q. What fraction of day is 12 hours?

1. 25/6
2. 29/6
3. 20/6
4. 5/24

Q. $\frac{72}{5}$ is equal to the mixed fraction .

1. 1425
2. 7025
3. 725

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

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