Solve 5/7*3/8+85/7

$$\frac{ 5 }{ 7 } \times \frac{ 3 }{ 8 } +8 \frac{ 5 }{ 7 }$$

Evaluate

$$\frac{503}{56}\approx 8.982142857$$

Solution Steps

Multiply \frac{5}{7} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{7\times 8}+\frac{8\times 7+5}{7}$$

Do the multiplications in the fraction \frac{5\times 3}{7\times 8}.

$$\frac{15}{56}+\frac{8\times 7+5}{7}$$

Multiply 8 and 7 to get 56.

$$\frac{15}{56}+\frac{56+5}{7}$$

Add 56 and 5 to get 61.

$$\frac{15}{56}+\frac{61}{7}$$

Least common multiple of 56 and 7 is 56. Convert \frac{15}{56} and \frac{61}{7} to fractions with denominator 56.

$$\frac{15}{56}+\frac{488}{56}$$

Since \frac{15}{56} and \frac{488}{56} have the same denominator, add them by adding their numerators.

$$\frac{15+488}{56}$$

Add 15 and 488 to get 503.

$$\frac{503}{56}$$

Factor

$$\frac{503}{2 ^ {3} \cdot 7} = 8\frac{55}{56} = 8.982142857142858$$