Solve 7/8+3/7:5/6=

$$\frac { 7 } { 8 } + \frac { 3 } { 7 } : \frac { 5 } { 6 } =$$

Evaluate

$$\frac{389}{280}\approx 1.389285714$$

Solution Steps

Divide \frac{3}{7} by \frac{5}{6} by multiplying \frac{3}{7} by the reciprocal of \frac{5}{6}.

$$\frac{7}{8}+\frac{3}{7}\times \frac{6}{5}$$

Multiply \frac{3}{7} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{8}+\frac{3\times 6}{7\times 5}$$

Do the multiplications in the fraction \frac{3\times 6}{7\times 5}.

$$\frac{7}{8}+\frac{18}{35}$$

Least common multiple of 8 and 35 is 280. Convert \frac{7}{8} and \frac{18}{35} to fractions with denominator 280.

$$\frac{245}{280}+\frac{144}{280}$$

Since \frac{245}{280} and \frac{144}{280} have the same denominator, add them by adding their numerators.

$$\frac{245+144}{280}$$

Add 245 and 144 to get 389.

$$\frac{389}{280}$$

Factor

$$\frac{389}{2 ^ {3} \cdot 5 \cdot 7} = 1\frac{109}{280} = 1.3892857142857142$$