1 1/3 + 6 3/8 + 17 1/16

⚠ 1 1/3 is read as the mixed number 1 + 1/3■6 3/8 is read as the mixed number 6 + 3/8■17 1/16 is read as the mixed number 17 + 1/16

Let's evaluate:

1

+ \frac{1}{3}

+ 6

+ \frac{3}{8}

+ 17

+ \frac{1}{16}

ⓘ Start from

1

and move forward

6

on the number line:

1 + 6

7

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

\frac{3}{8} + \frac{1}{16}

\frac{2 \times 3 + 1}{16}

7

+ \frac{1}{3}

+ \frac{2 \times 3 + 1}{16}

+ 17

ⓘ Perform multiplications before additions and subtractions:

2 \times 3

6

■Start from

7

and move forward

17

on the number line:

7 + 17

24

24 + \frac{1}{3} + \frac{6 + 1}{16}

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

6 + 1

7

24 + \frac{1}{3} + \frac{7}{16}

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

48

, the least common multiple of

3

and

16

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

\frac{1}{3} + \frac{7}{16}

\frac{1 \times 16}{3 \times 16} + \frac{7 \times 3}{16 \times 3}

\frac{1 \times 16 + 7 \times 3}{3 \times 16}

\frac{16 + 7 \times 3}{3 \times 16}

24 + \frac{16 + 7 \times 3}{3 \times 16}

ⓘ Perform multiplications before additions and subtractions:

7 \times 3

21

ⅰ

3 \times 16

3 \times (10 + 6)

3 \times 10 + 3 \times 6

30 + 18

48

24 + \frac{16 + 21}{48}

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

16 + 21

37

24 + \frac{37}{48}

▶Result:

24

\frac{37}{48}

The numeric value of:

24 + \frac{37}{48}

equals:

24 + \approx 0.7708

▷

\approx 24.7708

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