Solve (4/10div6/9)+(15/16*4/5)

$$( \frac { 4 } { 10 } \div \frac { 6 } { 9 } ) + ( \frac { 15 } { 16 } \times \frac { 4 } { 5 } )$$

Evaluate

$$\frac{27}{20}=1.35$$

Solution Steps

Divide \frac{4}{10} by \frac{6}{9} by multiplying \frac{4}{10} by the reciprocal of \frac{6}{9}.

$$\frac{4\times 9}{10\times 6}+\frac{15}{16}\times \frac{4}{5}$$

Cancel out 2\times 2\times 3 in both numerator and denominator.

$$\frac{3}{5}+\frac{15}{16}\times \frac{4}{5}$$

Multiply \frac{15}{16} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{5}+\frac{15\times 4}{16\times 5}$$

Do the multiplications in the fraction \frac{15\times 4}{16\times 5}.

$$\frac{3}{5}+\frac{60}{80}$$

Reduce the fraction \frac{60}{80} to lowest terms by extracting and canceling out 20.

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

Least common multiple of 5 and 4 is 20. Convert \frac{3}{5} and \frac{3}{4} to fractions with denominator 20.

$$\frac{12}{20}+\frac{15}{20}$$

Since \frac{12}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{12+15}{20}$$

Add 12 and 15 to get 27.

$$\frac{27}{20}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 5} = 1\frac{7}{20} = 1.35$$