Mixed Fraction

Q.

State whether true or false-
All fractions can be expressed as mixed fractions.

1. True

2. False

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. Which of the following cannot be represented as a mixed fraction?

1. $\frac{8}{6}$
2. $\frac{2}{9}$
3. $\frac{12}{10}$
4. $\frac{4}{3}$

Q. Arrange the following in descending order.

(i) $\frac{2}{3},\frac{4}{2},\frac{7}{9}$

(ii) $\frac{4}{5},\frac{6}{7},\frac{1}{3}$ [2 MARKS]

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 correct because the math he had done has no errors

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

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

3. 

4. 

Q.

Convert the given mixed fraction into an improper fraction:

$11\frac{11}{13}$

Q. A mixed fraction is a whole number combined with a proper fraction.

1. False
2. True

Q.

Express the following as improper fraction:

$7\frac{3}{4}$

Q.

Express the following as improper fraction:

$7\frac{3}{4}$

Q.

If $3\frac{a}{5}$ is a mixed fraction, then $a$ can be

1. 1

2. 3

3. 7

4. 9

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.

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. False

2. True

Q. Which is greater $\frac{-5}{6}$ or $\frac{-25}{30}$ ?

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. A mixed fraction is a whole number combined with a proper fraction.

1. True
2. False

Q. Arrange in descending order in each of the following using symbol >:
$\frac{5}{9},\frac{3}{12},\frac{1}{3},\frac{4}{15}$

Q. Ramesh had $20$ pencils, Sheelu had $50$ pencils and Jamaal had $80$ pencils. After $4$ months, Ramesh used up $10$ pencils, Sheelu used up $25$ pencils and Jamaal used up $40$ pencils. What fraction did each use up? Check if each has used up an equal fraction of her/ his pencils?

Q.

All the fractions can be expressed as mixed fractions.

1. True

2. False

Q. Which of the following is/are mixed fraction(s)?

1. $\frac{5}{3}$
2. $3\frac{2}{3}$
3. $\frac{3}{11}$
4. $7\frac{3}{7}$

Q.

Express the following as improper fraction:

$7\frac{3}{4}$

Q. A mixed fraction is a whole number combined with a proper fraction.

1. True
2. False

Q.

Convert the following mixed fractions into improper fractions.

$2\frac{3}{115}$

Q. A mixed fraction is a whole number combined with a proper fraction.

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. 

2. 

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

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

Q.

State whether true or false- All fractions can be expressed as mixed fractions.

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. 

2. 

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

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

Q.

Insert appropriate symbol $>$or $<$ between the given fractions.

$\frac{1}{8}\dots \dots$$\frac{0}{8}$

Q. Which is smaller: $\frac{12}{56}$ or $\frac{12}{65}$?