Finding Fractions given Certain Conditions

Q.

If $\frac{a}{b}$ = $\frac{c}{d}$ , then which of the following is true

1. $ad$ < $bc$

2. $ad$ = $bc$

3. $ad$ > $bc$

4. $ab$ = $dc$

Q.

Subtract the sum of $5\frac{1}{3}$ and $1\frac{7}{12}$ from the sum of $2\frac{5}{3}$and $7$.

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.

John ordered a pizza and ate $\frac{2}{3}$ of the pizza. Also, he gave $\frac{1}{6}$ of the whole pizza to his sister. Then what part of the pizza is left with John?

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

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

3. $\frac{1}{6}$

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

Q.

A and B represent two fractions. The following information is known:

A < 1

B > 1

When A and B are multiplied, the result is a new fraction C.

Choose the correct option(s):

1. C > A

2. C < B

3. A < B

4. C > B

Q.

The product of two numbers is $12\frac{3}{4}$. If one of the numbers is $3\frac{2}{5}$, what is the other number?

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

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

3. $\frac{3}{4}$

4. $3\frac{3}{4}$

Q.

The area of a rectangle whose length is $\frac{11}{2}m$ and breadth is $\frac{2}{11}m$ is ___ $m^2$.

Q.

Hema had $\frac{5}{8}$ kg of tea. She packed the tea into bags of $\frac{5}{32}$ kg each.How many bags of tea did Hema get?

1. 2

2. 4

3. 0

4. 10

Q.

A bag contains sugar that weighs $6\frac{7}{9}$ kg and rice that weighs $7\frac{5}{6}$.Find the total weight of the bag ?

1. $4\frac{11}{18}$

2. $14\frac{11}{18}$

3. $14\frac{13}{18}$

4. $14\frac{23}{18}$

Q. If $\frac{2}{7}$ of 14 apples are spoilt, how many are left?

1. 28
2. 12
3. 10
4. 35

Q.

If I sell $\frac{4}{5}th$ of $10$ apples, how many are left?

1. $4$

2. $5$

3. $2$

4. $8$

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. If $\frac{a}{b}-\frac{c}{d}=0$ and bc=7, then determine the true statement among the following.

1. a and c are inversely proportional.
2. a and b are directly proportional.
3. a and d are inversely proportional.
4. b and c are directly proportional.
5. c and d are inversely proportional.