Question

1 1/6÷37÷42+20-2 1/6​ simplify​

Answer 1

Question:-

$1 \dfrac{1}{6} \div \dfrac{37}{1} \div \dfrac{42}{1} + \dfrac{20}{1} - 2 \dfrac{1}{6}$

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.

Step-by-step explanation:-

$\longrightarrow \: \dfrac{7}{6} \div \dfrac{37}{1} \div \dfrac{42}{1} + \dfrac{20}{1} - \dfrac{13}{6}$

$\longrightarrow \: \dfrac{7}{6} \times \dfrac{1}{37} \div \dfrac{42}{1} + \dfrac{20}{1} - \dfrac{13}{6}$

$\longrightarrow \: \dfrac{7}{6} \times \dfrac{1}{37} \times \dfrac{1}{42} + \dfrac{20}{1} - \dfrac{13}{6}$

$\longrightarrow \: \dfrac{ \cancel{7}}{6} \times \dfrac{1}{37} \times \dfrac{1}{ \cancel{42}} + \dfrac{20}{1} - \dfrac{13}{6}$

$\longrightarrow \: \dfrac{1}{1332} + \dfrac{20}{1} - \dfrac{13}{6}$

$\longrightarrow \: \dfrac{(1 \times 1) + (1332 \times 20)}{1332} - \dfrac{13}{6}$

$\longrightarrow \: \dfrac{1 + 26640}{1332} - \dfrac{13}{6}$

$\longrightarrow \: \dfrac{26641}{1332} - \dfrac{13}{6}$

$\longrightarrow \: \dfrac{(1 \times 22641) - (222 \times 13)}{1332}$

$\longrightarrow \: \dfrac{22641 - 2886}{1332}$

$\longrightarrow \: \dfrac{20355}{1332}$

$\longrightarrow \: \dfrac{ \cancel{20355}}{ \cancel{1332}}$

$\longrightarrow \: \dfrac{6785}{444}$

Required Answer:-

The required number is $\dfrac{6785}{444}$