3/14+5/18

Let's evaluate:

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

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

126

, the least common multiple of

14

and

18

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

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

\frac{3 \times 9}{14 \times 9} + \frac{5 \times 7}{18 \times 7}

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

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

ⓘ Multiplications are done before additions and subtractions:

3 \times 9

27

5 \times 7

35

ⅰ

14 \times 9

(10 + 4) \times 9

10 \times 9 + 4 \times 9

90 + 36

126

\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

2

, their greatest common divisor:

\frac{62}{126}

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

\frac{31}{63}

▶Result:

\frac{31}{63}

The numeric value of:

\frac{31}{63}

equals:

▷

\approx 0.4921

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