explain 1 1/3 + 6 3/8 + 17 1/16 — step-by-step solution

⚠ 1 1/3 is read as the mixed number 1 + 1/3

⚠ 6 3/8 is read as the mixed number 6 + 3/8

Let's evaluate:

1

+ \frac{1}{3}

+ 6

+ \frac{3}{8}

+ 17

+ \frac{1}{16}

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

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

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

ℹ

1 + 6

7

7

+ \frac{1}{3}

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

+ 17

ⓘMultiplications are done before additions and subtractions:

2 \times 3

6

ℹ

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}

ℹ

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

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

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

ⓘ

3 \times 16

(10 + 6) \times 3

10 \times 3 + 6 \times 3

30 + 18

48

ℹ

1 \times 16

16

‖

7 \times 3

21

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

ℹ

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