Multiplication and Division of Rational Numbers

Q.

Solve :

$\frac{(6x+1)}{3}+1=\frac{(x-3)}{6}$

Q.

Verify the property $x\times (y+z)=\left(x\times y\right)+\left(x\times z\right)$ of rational numbers by using $x=\frac{-1}{2}$, $y=\frac{2}{3}$and $z=\frac{3}{4}$.

Q.

On childrens day sweets were to be equally distributed among $175$ students in a school. Actually on that day $35$ children were absent and therefore each child got $4$ sweet extra. How many sweets were available in all for distribution?

1. $2750$

2. $2800$

3. $2672$

4. $2675$

Q.

Verify the property $x\times y=y\times x$ of rational numbers by using $x=7$and $y=\frac{1}{2}$.

Q.

Simplify: $\left(\frac{3}{7}\right)\times \left(\frac{28}{15}\right)÷\left(\frac{14}{5}\right)$

Q.

Question 3 (v)

Find the product:
$\frac{3}{11}\times \frac{2}{5}$

Q.

Question 3 (iv)

Find the product:
$\frac{3}{7}\times \left(\frac{-2}{5}\right)$

Q.

Find the value of
$-\frac{16}{3}÷-\frac{4}{3}.$

1. 1

2. 3

3. 4

4. 2

Q.

Question 99

From a rope 68 m long, pieces of equal size are cut. If the length of one piece is $4\frac{1}{4}$ m, find the number of such pieces.

Q.

Question 80 (i)

Find the product of $\frac{-4}{5}$ and $\frac{-5}{12}$.

Q.

$\frac{a}{b}$ is always the multiplicative inverse of $\frac{b}{a}$.

1. True

2. False

Q.

Find the value of $\left(\frac{3}{7}\right)÷\left(\frac{8}{7}\right)$.

Q.

Question 74

If $\frac{-5}{7}=\frac{x}{28},$ find the value of x.

Q.

Question 80 (ii)

Find the product of $\frac{-22}{11}$ and $\frac{-21}{11}$.

Q.

In a class of $40$ student $\frac{1}{5}$ of total number of students like to study English and $\frac{2}{5}$ of the total number of students like to study mathematics and the remaining like to study science . How many student like to study English?

Q.

In window explorer ctrl+j perform which operation?

Q.

Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained $5\mathrm{litres}$ water. Vidya consumed $\frac{2}{5}$ of the water. Pratap consumed the remaining water. How much water did Vidya drink?

Q.

Question 97

What should be multiplied with $\frac{-5}{8}$ to obtain the nearest integer?

Q.

The product of $\frac{9}{7}$ and a number is $63.$Find the number$.$

Q.

Question 82 (ii)

Simplify : $1÷(-\frac{1}{2})$

Q.

Find: $4\frac{3}{7}÷7$

Q.

Fork Is ________ -

1. The Creation Of A New Job

2. The Dispatching Of A Task

3. Creation Of A New Process

4. Increasing The Priority Of A Task

Q.

Find: $\frac{1}{2}$ of $4\frac{2}{9}$

Q.

Ravi purchased $5\mathrm{kg}400\mathrm{g}$ rice, $2\mathrm{kg}20\mathrm{g}$ sugar and $10\mathrm{kg}850\mathrm{g}$ flour. Find the total weight of his purchases.

Q.

What should be subtracted from $\frac{1}{10}$ to get $-5$?

Q.

Simplify $\frac{16}{-21}\times \frac{14}{5}$

Q.

What fraction of an $hour$ is $20minutes$?

Q.

Simplify: $\frac{3}{7}÷\left(\frac{21}{-55}\right)$.

Q.

$\frac{-15}{51}$ is a multiplicative inverse of $\frac{-17}{5}$.

1. True

2. False

Q.

One fruit salad recipe requires$\frac{1}{2}$cup of sugar. Another recipe for the same fruit salad requires$2$tablespoons of sugar. If $1$tablespoon is equivalent to$\frac{1}{16}$cup, how much more sugar does the first recipe require?