Addition of Fractions

Q.

A fraction becomes $\frac{9}{11}$ if $2$ is added to both numerator and denominator. If $3$ is added to both numerator and denominator it becomes $\frac{5}{6}$, find the fraction by substitution method.

Q.

A rational number is such that when you multiply it by $\frac{5}{2}$ and add $\frac{2}{3}$to the product, you get $\frac{-7}{12}$. What is the number?

Q.

Question 1(j) :

Solve:

$\frac{1}{2}+\frac{1}{3}+\frac{1}{6}$

Q.

Question 2 (iii)

Find:
$\frac{-6}{13}-\left(\frac{-7}{15}\right)$

Q.

Solve:

$\frac{3}{10}+\frac{7}{15}$

Q.

If $2x+y=23$ and $4x-y=19$, find the values of $5y-2x$ and $\frac{y}{x}-2$.

Q.

Question 2 :

Sarika bought $\frac{2}{5}$meter of ribbon and Lalita $\frac{3}{4}$meter of ribbon. What is the total length of the ribbon they bought?

Q.

Simplify $\frac{3}{4}+\frac{5}{6}$.

Q.

Question 3:

Shubham painted $\frac{2}{3}$ of the wall space in his room. His sister Madhavi helped and painted $\frac{1}{3}$ of the wall space. How much did they paint together?

Q.

Question 127.
Write a pair of fractions whose sum is $\frac{7}{11}$ and difference is $\frac{2}{{11}^{\cdot }}$

Q.

What should be subtracted from $-\frac{3}{4}$to get $-\frac{5}{6}$?

Q.

Question 1(f) :

Solve:

$\frac{4}{5}+\frac{2}{3}$

Q.

For all non-zero integers a and b, $a\times b$ is always greater than either a or b.

1. True

2. False

Q.

Question 95

Add the fractions $\frac{3}{8}and\frac{2}{3}$.

Q.

Add the fractions $\frac{3}{8}$ and $6\frac{3}{4}$.

Q.

If $a,b,c$are positive real numbers such that $a+b+c=18$, find the maximum value of $a^2{b}^3{c}^4$.

Q.

Question 1(e) :

Solve:

$\frac{2}{5}+\frac{1}{6}$

Q.

What should be added to $\frac{1}{4}$to get $\frac{4}{9}$?

Q.

Question 9.
Sum of $\frac{4}{17}$ and $\frac{15}{17}$ is
(a) $\frac{19}{17}$
(b) $\frac{11}{17}$
(c) $\frac{19}{34}$
(d) $\frac{2}{17}$

Q.

Question 48.
The sum of two fractions is always a fraction.

Q.

Perform the following division $6\frac{1}{4}÷2\frac{3}{5}$

Q.

Question 161
A person had Rs 1000000 with him. He purchased a colour TV for Rs 16580, a motorcycle for Rs 45890 and a flat for Rs 870000. How much money was left with him?

Q.

Question 44

Fill in the blanks to make the statements true.

Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to ___

Q.

Question 101.
Katrina rode her bicycle $6\frac{1}{2}$ km in the morning and $8\frac{3}{4}$ km in the evening. Find the distance traveled by her altogether on that day.

Q.

Question 115.
When Sunita weighed herself on Monday, she found that she had gained 1$\frac{1}{4}$ kg. Earlier her weight was 46$\frac{3}{8}$ kg. What was her weight on Monday?

Q.

In a match of 50 overs, the team batting second was given a target of 310.They lost the match by 10 runs. The team batting second i.e. the losing team, scored one-half of their runs in 30 overs and next five overs they scored one-half of the remaining runs. Later in the next 8 overs, they scored $\frac{1}{5}$^th of the remaining runs. In last seven overs, they scored the remaining runs. How many runs did they score in last seven overs?
[3 MARKS]

Q.

Question 119.
Nasir travelled $3\frac{1}{2}$ km in a bus and then walked $1\frac{1}{8}$ km to reach a town.
How much did he travel to reach the town?

Q.

Determine the sum by suitable rearrangement of 157+376+413+524

Q.

Question 116.
Sunil purchased $12\frac{1}{2}$ L of juice on Monday and $14\frac{3}{4}$ L of juice on Tuesday. How many litres of juice did he purchase together in two days?

Q.

Solve this $8\times 8+8÷8-8=?$