explain 3/14+5/18 — step-by-step solution

Let's calculate:

\frac{3}{14} + \frac{5}{18}

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

\frac{3 \times 9 + 5 \times 7}{14 \times 9}

ⓘMultiplications are done before additions and subtractions:

3 \times 9

27

‖

14 \times 9

(10 + 4) \times 9

10 \times 9 + 4 \times 9

90 + 36

126

ℹ

5 \times 7

35

\frac{27 + 35}{126}

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

27 + 35

62

\frac{62}{126}

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

2

\frac{62}{126}

\frac{31 \times 2}{63 \times 2}

\frac{31}{63}

▶Result:

\frac{31}{63}

The numeric value of:

\frac{31}{63}

is:

▷

\approx 0.4921