Question

simplify: 3/4+(2/3*5/6)÷5/6*1/8 ​

Answer 1

$\frac{3}{4} + ( \frac{2}{3} \times \frac{5}{6} ) \div \frac{5}{6} \times \frac{1}{8}$

First we will multiply 2/3 and 5/6

$\frac{2}{3} \times \frac{5}{6} = \frac{5}{9}$

So,

$\frac{3}{4} + \frac{5}{9} \div \frac{5}{6} \times \frac{1}{8}$

Now we will multiply 5/6 and 1/8

$\frac{5}{6} \times \frac{1}{8} = \frac{5}{48}$

So,

$\frac{3}{4} + \frac{5}{9} \div \frac{5}{48}$

Now, we will add 3/4 and 5/9

$\frac{3}{4} + \frac{5}{9}$

LCM = 36

So,

$\frac{27}{36} + \frac{20}{36} = \frac{47}{36}$

Now,

$\frac{47}{36} \div \frac{5}{48}$

$= \frac{47}{36} \times \frac{48}{5} = \frac{188}{15}$

We can write 188/15 as 12 whole 8/15

Answer 2

$\frac{3}{4} \: + \: \bigg( \frac{2}{3} \times \frac{5}{6} \bigg) \: \div \: \frac{5}{6} \times \frac{1}{8}$

$\frac{3}{4} \: + \bigg(\: \frac{5}{9} \: \div \: \frac{5}{6} \bigg) \times \frac{1}{8}$

$\frac{3}{4} \: + \: \bigg( \frac{1}{54} \times \frac{1}{8} \bigg)$

$\frac{3}{4} \: + \: \frac{1}{432}$

$\frac{325}{432} \: \pink{\underline {\bf \red{Ans}}}$