Types of fractions

Q.

How do you write $\frac{25}{7}$ as a mixed fraction.

Q.

Express the following as mixed fraction.

$\frac{27}{5}.$

Q.

Express the following as improper fraction: $5\frac{6}{7}$.

Q.

Express the following as mixed fractions:

$\frac{20}{3}$

Q.

Write the following improper fraction as mixed fraction:

$\frac{21}{5}$

Q.

The reciprocal of $\frac{3}{7}$ is _____. Fill in the blanks.

Q.

Express the following as mixed fraction.

$\frac{43}{5}.$

Q.

Classify the following as true or false :

The reciprocal of a proper fraction is a proper fraction

1. True
2. False

Q.

Express the following as mixed fraction.

$\frac{43}{6}.$

Q.

Convert $\frac{6}{12}$, $\frac{1}{4}$ and $\frac{6}{3}$ into like fractions.

1. $\frac{5}{12}$, $\frac{3}{12}$, $\frac{24}{12}$

2. $\frac{6}{12}$, $\frac{2}{12}$, $\frac{24}{12}$

3. $\frac{6}{12}$, $\frac{3}{12}$, $\frac{20}{12}$

4. $\frac{6}{12}$, $\frac{3}{12}$, $\frac{24}{12}$

Q.

Find the value of a if,

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

1. $3$

2. $4$

3. $2$

4. $1$

Q.

p and q were picked out of the number line, where p was lying to the right of q. Then,

p > q

1. True

2. False

Q.

The mixed fraction $3\frac{p}{q}$ can be written as the product of $3$ and $\frac{p}{q},i.e.3\frac{p}{q}=3\times \frac{p}{q}$.

1. True

2. False

Q.

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

1. $\text{6 +}\frac{3}{4}$

2. $\text{20 +}\frac{1}{4}$

3. $\text{6 +}\frac{1}{4}$

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

Q.

Express the following as mixed fraction:

$\frac{45}{7}$

Q.

Some chocolates are distributed amongst a group of students equally. What can be said about the share of chocolates of each student?

1. The share of chocolates of each student is a proper fraction if the number of chocolates is more than the number of students.

2. The share of chocolates of each student is a proper fraction if the number of students is more than the number of chocolates.

3. The share of chocolates of each student is an improper fraction if the number of chocolates is more than the number of students.

4. The share of chocolates of each student is an improper fraction if the number of chocolates is less than the number of students.

Q.

Which of the following is correct about improper fractions?

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 greater than the denominator.

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

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

Q.

A mixed fraction contains a whole number part and a fractional part. The fraction should necessarily be a proper fraction.

1. True

2. False

Q.

All improper fractions can be represented as mixed fractions. Say true or false.

1. True

2. False

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 correct because the math he had done has no errors

2. Jimmy is correct because a mixed fraction has a whole number and a fraction and so $8\frac{7}{4}$ is a mixed fraction

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

4. Jimmy is incorrect when he says that $8\frac{7}{4}$ is a mixed fraction, because the fraction part is an improper fraction