explain 3/14+3/10 — step-by-step solution

Let's calculate:

\frac{3}{14} + \frac{3}{10}

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

\frac{3 \times 5 + 3 \times 7}{14 \times 5}

ⓘMultiplications are done before additions and subtractions:

3 \times 5

15

‖

14 \times 5

(10 + 4) \times 5

10 \times 5 + 4 \times 5

50 + 20

70

ℹ

3 \times 7

21

\frac{15 + 21}{70}

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

15 + 21

36

\frac{36}{70}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

2

\frac{36}{70}

\frac{18 \times 2}{35 \times 2}

\frac{18}{35}

▶Result:

\frac{18}{35}

The numeric value of:

\frac{18}{35}

is:

▷

\approx 0.5143