The multiple inverse of 3-4 - 5-4 - 1-2 is -

Given: 3/4 + (5/4 + 1/2) Using Associative property [a + (b + c) = (a + b) + c] nbsp; 3/4 + (5/4 + 1/2) = nbsp;(3/4 + 5/4) + 1/2 3/4 + (5/4 + 1/2) = nb ...

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Byju's Answer

Standard VIII

Mathematics

Commutative Property

The multiple ...

Question

The multiple inverse of $\frac{3}{4} + (\frac{5}{4} + \frac{1}{2})$ is .

\frac{2}{5}

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\frac{3}{2}

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\frac{1}{7}

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Solution

The correct option is A $\frac{2}{5}$
Given: $\frac{3}{4} + (\frac{5}{4} + \frac{1}{2})$

Using Associative property [a + (b + c) = (a + b) + c]

$\frac{3}{4} + (\frac{5}{4} + \frac{1}{2})$ = $(\frac{3}{4} + \frac{5}{4}) + \frac{1}{2}$

$\frac{3}{4} + (\frac{5}{4} + \frac{1}{2})$ = $\frac{8}{4} + \frac{1}{2}$

$\frac{3}{4} + (\frac{5}{4} + \frac{1}{2})$ = 2 + $\frac{1}{2}$

$\frac{3}{4} + (\frac{5}{4} + \frac{1}{2})$ = $\frac{5}{2}$

We know that multiple inverse of a is $\frac{1}{a}$ .
So, multiple inverse of $\frac{5}{2}$ = $\frac{2}{5}$

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Similar questions

Multiplicative inverse of

1) -7/9

2) 13/15

3) 1/3×4/7

4) -13/11×1/5

Q. Find multiplicative inverse of :

\frac{3 + 4 i}{4 - 5 i}

Q. (a) Give the additive inverse of:

\frac{3}{14}, \frac{- 5}{19}

(b) Give the multiplicative inverse of

\frac{- 3}{4}

[2 MARKS]

Q. State the property illustrated by the statement.

\frac{4}{5} \times 1 = 1 \times \frac{4}{5}

is multiplicative inverse

Q. The multiplicative inverse of

- \frac{3}{4} \times \frac{8}{9} \times \frac{3}{2}

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The multiple inverse of 34+(54+12) is .

The correct option is A 25Given: 34+(54+12) Using Associative property [a + (b + c) = (a + b) + c] 34+(54+12) = (34+54)+12 34+(54+12) = 84+12 34+(54+12) = 2 + 12 34+(54+12) = 52 We know that multiple inverse of a is 1a. So, multiple inverse of 52 = 25

The multiple inverse of $\frac{3}{4} + (\frac{5}{4} + \frac{1}{2})$ is .