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Addition of Fractions

Question

Simplify: $\frac{5}{9} + \frac{7}{12} - \frac{5}{6}$
$\frac{11}{36}$
$\frac{36}{11}$
$\frac{41}{36}$
$\frac{7}{15}$

A

\frac{36}{11}

B

\frac{7}{15}

C

\frac{41}{36}

D

\frac{11}{36}

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Solution

Verified by Toppr

$\frac{5}{9} + \frac{7}{12} - \frac{5}{6} = \frac{20 + 21 - 30}{36} = \frac{11}{36}$
where, 36 is the LCM of 9,6 and 12

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Similar Questions

Q1

Simplify: $36 \div [(5 - 11) \times 2] + 12 - 7$

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Q2

(i) Complete the following table:

Event: 'Sum on $2$ dice'	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$	$12$
Probability	$\frac{1}{36}$						$\frac{5}{36}$				$\frac{1}{36}$

(ii) A student argues that there are

11

possible outcomes

2, 3, 4, 5, 6, 7, 8, 9, 10, 11

and

12

. Therefore, each of them has a probability

\frac{1}{11}

. Do you agree with this argument?
Justify your answer.

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Q3

Simplify :

\frac{7}{18} + \frac{5}{6} + 1 \frac{1}{12}

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Q4

Simplify the followings:
(a)

\frac{3}{7} \times \frac{2}{5}

(b)

\frac{4}{9} \times \frac{3}{5}

(c)

\frac{5}{12} \times 8

(d)

\frac{7}{6} o f \frac{3}{14}

(e)

3 \frac{3}{8} \times 3 \frac{6}{7}

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Q5

Simplify:

(1)

(2)

(3)

(4)

(5)

(6)

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