explain 16 4/7 + 6 1/16 + 22 3/16 — step-by-step solution

⚠ 16 4/7 is read as the mixed number 16 + 4/7

⚠ 6 1/16 is read as the mixed number 6 + 1/16

Let's evaluate:

16

+ \frac{4}{7}

+ 6

+ \frac{1}{16}

+ 22

+ \frac{3}{16}

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

\frac{1}{16} + \frac{3}{16}

\frac{1 + 3}{16}

ℹ

16 + 6

22

22

+ \frac{4}{7}

+ \frac{1 + 3}{16}

+ 22

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

1 + 3

4

ℹ

22 + 22

44

44 + \frac{4}{7} + \frac{4}{16}

ℹ

\frac{4}{7} + \frac{4}{16}

\frac{4 \times 16 + 4 \times 7}{7 \times 16}

44 + \frac{4 \times 16 + 4 \times 7}{7 \times 16}

ⓘMultiplications are done before additions and subtractions:

4 \times 16

(10 + 6) \times 4

10 \times 4 + 6 \times 4

40 + 24

64

‖

7 \times 16

(10 + 6) \times 7

10 \times 7 + 6 \times 7

70 + 42

112

ℹ

4 \times 7

28

44 + \frac{64 + 28}{112}

ℹ

64 + 28

92

44 + \frac{92}{112}

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

4

\frac{92}{112}

\frac{23 \times 4}{28 \times 4}

\frac{23}{28}

44 + \frac{23}{28}

▶Result:

44

\frac{23}{28}

The approximate value of:

44 + \frac{23}{28}

equals:

44 + \approx 0.8214

▷

\approx 44.8214