Question

What is the multiplicative inverse of (2/4+3/4) multiplied with 4/5?

Answer 1

Answer:

(2/4+3/4)×4/5

=5/4×4/5

=1

Answer 2

Answer:

1 is the multiplicative inverse of ( $\frac{2}{4}$ + $\frac{3}{4}$) × $\frac{4}{5}$.

Step-by-step explanation:

Explanation:

First we know multiplicative inverse,

When a number is multiplied by its original number, the multiplicative inverse of that number $\frac{1}{x}$ is  $x^{-1}$, produces a value equal to 1.

Step 1:

Given that,( $\frac{2}{4}$ + $\frac{3}{4}$) × $\frac{4}{5}$

As we know that, for Bracket, Order, Division, Multiplication, Addition, and Subtraction, the acronym BODMAS is used.

• The acronym BEMDAS, which stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction, is also known as BODMAS in some areas.

• So, first we solve bracket part then multiplication part.

⇒( $\frac{2}{4}$ + $\frac{3}{4}$) × $\frac{4}{5}$

⇒( $\frac{2+3}{4}$ )× $\frac{4}{5}$

⇒ $\frac{5}{4}$ × $\frac{4}{5}$ = 1

Now, multiplicative inverse of  1 is 1.

Final answer:

Hence, 1 is the multiplicative inverse of ( $\frac{2}{4}$ + $\frac{3}{4}$) × $\frac{4}{5}$.

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