Solve (8/16div5/7)+(12/4*3/16)

$$( \frac { 8 } { 16 } \div \frac { 5 } { 7 } ) + ( \frac { 12 } { 4 } \times \frac { 3 } { 16 } )$$

Evaluate

$$\frac{101}{80}=1.2625$$

Solution Steps

Divide \frac{8}{16} by \frac{5}{7} by multiplying \frac{8}{16} by the reciprocal of \frac{5}{7}.

$$\frac{8\times 7}{16\times 5}+\frac{12}{4}\times \frac{3}{16}$$

Cancel out 8 in both numerator and denominator.

$$\frac{7}{2\times 5}+\frac{12}{4}\times \frac{3}{16}$$

Multiply 2 and 5 to get 10.

$$\frac{7}{10}+\frac{12}{4}\times \frac{3}{16}$$

Divide 12 by 4 to get 3.

$$\frac{7}{10}+3\times \frac{3}{16}$$

Express 3\times \frac{3}{16} as a single fraction.

$$\frac{7}{10}+\frac{3\times 3}{16}$$

Multiply 3 and 3 to get 9.

$$\frac{7}{10}+\frac{9}{16}$$

Least common multiple of 10 and 16 is 80. Convert \frac{7}{10} and \frac{9}{16} to fractions with denominator 80.

$$\frac{56}{80}+\frac{45}{80}$$

Since \frac{56}{80} and \frac{45}{80} have the same denominator, add them by adding their numerators.

$$\frac{56+45}{80}$$

Add 56 and 45 to get 101.

$$\frac{101}{80}$$

Factor

$$\frac{101}{2 ^ {4} \cdot 5} = 1\frac{21}{80} = 1.2625$$