Question

2 1/2 +2/3 × 3/4 - 5/8 ÷ 3/4 simplify​

Answer 1

Step-by-step explanation:

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Answer 2

Question:-

$2 \dfrac{1}{2} + \dfrac{2}{3} \times \dfrac{3}{4} - \dfrac{5}{8} \div \dfrac{3}{4}$

Solution:-

NOTE :-

While simplification :- We should remember "BODMAS" rule.

B = Bracket

O = Of

D = Division

M = Multipcation

A = Addition

S = Substraction

First let's convert the mixed fraction to improper fraction.

Then,, Division, Multipcation, Addition and Substraction respectively.

$\longrightarrow \: \dfrac{5}{2} + \dfrac{2}{3} \times \dfrac{3}{4} - \dfrac{5}{8} \div \dfrac{3}{4}$

$\longrightarrow \: \dfrac{5}{2} + \dfrac{2}{3} \times \dfrac{3}{4} - \dfrac{5}{8} \times \dfrac{4}{3}$

$\longrightarrow \: \dfrac{5}{2} + \dfrac{2}{3} \times \dfrac{3}{4} - \dfrac{5}{ \cancel{8}} \times \dfrac{ \cancel{4}}{3}$

$\longrightarrow \: \dfrac{5}{2} + \dfrac{2}{3} \times \dfrac{3}{4} - \dfrac{5}{2} \times \dfrac{1}{3}$

$\longrightarrow \: \dfrac{5}{2} + \dfrac{2}{3} \times \dfrac{3}{4} - \dfrac{5}{6}$

$\longrightarrow \: \dfrac{5}{2} + \dfrac{ \cancel{2}}{ \cancel{3}} \times \dfrac{ \cancel{3}}{ \cancel{4}} - \dfrac{5}{6}$

$\longrightarrow \: \dfrac{5}{2} + \dfrac{1}{1} \times \dfrac{1}{2} - \dfrac{5}{6}$

$\longrightarrow \: \dfrac{5}{2} + \dfrac{1}{2} - \dfrac{5}{6}$

$\longrightarrow \: \dfrac{(5 \times 1) + (1 \times 1)}{2} - \dfrac{5}{6}$

$\longrightarrow \: \dfrac{5 + 1}{2} - \dfrac{5}{6}$

$\longrightarrow \: \dfrac{6}{2} - \dfrac{5}{6}$

$\longrightarrow \: \dfrac{ \cancel{6}}{ \cancel{2}} - \dfrac{5}{6}$

$\longrightarrow \: \dfrac{3}{1} - \dfrac{5}{6}$

$\longrightarrow \: \dfrac{(6 \times 3) - (1 \times 5)}{6}$

$\longrightarrow \: \dfrac{18 - 5}{6}$

$\longrightarrow \: \dfrac{13}{6}$

$\sf{ {\large{R}equried \: answer:-}}$

The required number is $\dfrac{13}{6}$