16 4/7 + 6 1/16 + 22 3/16

⚠ 16 4/7 is read as the mixed number 16 + 4/7■6 1/16 is read as the mixed number 6 + 1/16■22 3/16 is read as the mixed number 22 + 3/16

Let's evaluate:

16

+ \frac{4}{7}

+ 6

+ \frac{1}{16}

+ 22

+ \frac{3}{16}

ⓘ Start from

16

and move forward

6

on the number line:

16 + 6

22

■Add fractions by using a common denominator and then adding their numerators:

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

\frac{1 + 3}{16}

22

+ \frac{4}{7}

+ \frac{1 + 3}{16}

+ 22

ⓘ Calculate the numerator and denominator before dividing:

1 + 3

4

22

+ \frac{4}{7}

+ \frac{4}{16}

+ 22

ⓘ Start from

22

and move forward

22

on the number line:

22 + 22

44

■We simplify the fraction by dividing the numerator and the denominator by

4

, their greatest common divisor:

\frac{4}{16}

\frac{1 \times 4}{4 \times 4}

\frac{1}{4}

44 + \frac{4}{7} + \frac{1}{4}

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

28

, the least common multiple of

7

and

4

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

\frac{4}{7} + \frac{1}{4}

\frac{4 \times 4}{7 \times 4} + \frac{1 \times 7}{4 \times 7}

\frac{4 \times 4 + 1 \times 7}{7 \times 4}

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

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

ⓘ Multiplications are done before additions and subtractions:

4 \times 4

16

ⅰ

7 \times 4

28

44 + \frac{16 + 7}{28}

ⓘ Calculate the numerator and denominator before dividing:

16 + 7

23

44 + \frac{23}{28}

▶Result:

44

\frac{23}{28}

The numeric value of:

44 + \frac{23}{28}

equals:

44 + \approx 0.8214

▷

\approx 44.8214

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