16 7/9 + 21 5/16

⚠ 16 7/9 is read as the mixed number 16 + 7/9■21 5/16 is read as the mixed number 21 + 5/16

Let's calculate:

16

+ \frac{7}{9}

+ 21

+ \frac{5}{16}

ⓘ Start from

16

and move forward

21

on the number line:

16 + 21

37

37 + \frac{7}{9} + \frac{5}{16}

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

144

, the least common multiple of

9

and

16

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

\frac{7}{9} + \frac{5}{16}

\frac{7 \times 16}{9 \times 16} + \frac{5 \times 9}{16 \times 9}

\frac{7 \times 16 + 5 \times 9}{9 \times 16}

37 + \frac{7 \times 16 + 5 \times 9}{9 \times 16}

ⓘ Multiplications are done before additions and subtractions:

7 \times 16

7 \times (10 + 6)

7 \times 10 + 7 \times 6

70 + 42

112

5 \times 9

45

ⅰ

9 \times 16

9 \times (10 + 6)

9 \times 10 + 9 \times 6

90 + 54

144

37 + \frac{112 + 45}{144}

ⓘ Calculate the numerator and denominator before dividing:

112 + 45

157

37 + \frac{157}{144}

▶Result:

38

\frac{13}{144}

ⓘ Since the fraction

\frac{157}{144}

exceeds 1, take

1

out of it and add it to the whole part:

37 + \frac{157}{144}

37 + \frac{144 + 13}{144}

37 + \frac{144}{144} + \frac{13}{144}

37 + 1 + \frac{13}{144}

38 + \frac{13}{144}

The numeric value of:

38 + \frac{13}{144}

is:

38 + \approx 9.0278 \times 10^{- 2}

▷

\approx 38.0903

100% free