explain 1/18+9/14 — step-by-step solution

Let's calculate:

\frac{1}{18} + \frac{9}{14}

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

\frac{1 \times 7 + 9 \times 9}{18 \times 7}

ⓘMultiplications are done before additions and subtractions:

9 \times 9

81

‖

18 \times 7

(10 + 8) \times 7

10 \times 7 + 8 \times 7

70 + 56

126

ℹ

1 \times 7

7

\frac{7 + 81}{126}

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

7 + 81

88

\frac{88}{126}

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

2

\frac{88}{126}

\frac{44 \times 2}{63 \times 2}

\frac{44}{63}

▶Result:

\frac{44}{63}

The approximate value of:

\frac{44}{63}

equals:

▷

\approx 0.6984