simplify 5/6+1/3*5/8 — step-by-step solution

Let's reduce:

\frac{5}{6} + \frac{1}{3} \times \frac{5}{8}

ⓘ To multiply fractions, multiply the numerators together and the denominators together:

\frac{1}{3} \times \frac{5}{8}

\frac{1 \times 5}{3 \times 8}

\frac{5}{24}

\frac{5}{6} + \frac{5}{24}

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

24

, the least common multiple of

6

and

24

. Multiplying the numerator and the denominator by the same number does not change the fraction:

\frac{5}{6} + \frac{5}{24}

\frac{5 \times 4}{6 \times 4} + \frac{5}{24}

\frac{5 \times 4 + 5}{24}

\frac{5 \times 4 + 5}{24}

ⓘ Multiplications are done before additions and subtractions:

5 \times 4

20

\frac{20 + 5}{24}

ⓘ The numerator and the denominator are computed before the division:

20 + 5

25

▶Simplified form:

\frac{25}{24}

The numeric value of:

\frac{25}{24}

equals:

▷

\approx 1.0417