Question

{(6/8+9/11)-0.35} ÷3/5

Answer 1

$(( \frac{6}{8} + \frac{8}{11} ) - 0.35) \div \frac{3}{5} \\ \\ (( \frac{66 + 64}{88} ) - 0.35) \div \frac{3}{5} \\ \\ (\frac{130}{88} - 0.35) \times \frac{5}{3} \\ \\ (\frac{130 - 30.8}{88} ) \times \frac{5}{3} \\ \\ \frac{99.2}{88} \times \frac{5}{3} \\ \\ \frac{496}{264} \\ \\ 1.87$

Answer 2

The answer is $2\frac{1}{33}$ .

Given: { $(\frac{6}{8} + \frac{9}{11} )$ - 0.35} ÷ $\frac{3}{5}$

To Find: the solution of the given fraction

Solution:

Solving the first brackets first,

L.C.M of 8 and 11 = 88

∴ { $(\frac{6 \times 11 + 9 \times 8}{88})$ - 0.35} ÷ $\frac{3}{5}$

= { $(\frac{66 + 72}{88} )$ - 0.35} ÷ $\frac{3}{5}$

= { $\frac{138}{88}$ - 0.35} ÷ $\frac{3}{5}$

Solving the second bracket,

= {$\frac{138}{88} - \frac{35}{100}$} ÷ $\frac{3}{5}$

L.C.M of 88 and 100 = 2200

= {$\frac{138 \times 25 - 35 \times 22}{2200}$}  ÷ $\frac{3}{5}$

= { $\frac{3450 - 770 }{2200}$ }  ÷ $\frac{3}{5}$

= $\frac{2680}{2200}$ × $\frac{5}{3}$

= $\frac{67}{33}$

= $2\frac{1}{33}$

Answer) $2\frac{1}{33}$

Fractions

• Fractions refer to the numbers which define a part of something. It is written in the numerator and denominator form, where the denominator describes the whole part, and the numerator describes the fraction of it.

• In the given exercise, we needed to find the solution to the mathematical expression given as fractions. Fractions are mostly solved by calculating the LCM of the denominators.

• The answer came in the form of an improper fraction. Improper fraction refers to the fraction where the denominator is smaller than the numerator.

• Thus, I have changed it into the mixed fraction, where we have a whole number and a fraction.

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