17 6/7 + 12 15/16

⚠ 17 6/7 is read as the mixed number 17 + 6/7■12 15/16 is read as the mixed number 12 + 15/16

Let's evaluate:

17

+ \frac{6}{7}

+ 12

+ \frac{15}{16}

ⓘ Start from

17

and move forward

12

on the number line:

17 + 12

29

29 + \frac{6}{7} + \frac{15}{16}

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

112

, the least common multiple of

7

and

16

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

\frac{6}{7} + \frac{15}{16}

\frac{6 \times 16}{7 \times 16} + \frac{15 \times 7}{16 \times 7}

\frac{6 \times 16 + 15 \times 7}{7 \times 16}

29 + \frac{6 \times 16 + 15 \times 7}{7 \times 16}

ⓘ Perform multiplications before additions and subtractions:

6 \times 16

6 \times (10 + 6)

6 \times 10 + 6 \times 6

60 + 36

96

15 \times 7

(10 + 5) \times 7

10 \times 7 + 5 \times 7

70 + 35

105

ⅰ

7 \times 16

7 \times (10 + 6)

7 \times 10 + 7 \times 6

70 + 42

112

29 + \frac{96 + 105}{112}

ⓘ Calculate the numerator and denominator before dividing:

96 + 105

201

29 + \frac{201}{112}

▶Result:

30

\frac{89}{112}

ⓘ Since the fraction

\frac{201}{112}

exceeds 1, take

1

out of it and add it to the whole part:

29 + \frac{201}{112}

29 + \frac{112 + 89}{112}

29 + \frac{112}{112} + \frac{89}{112}

29 + 1 + \frac{89}{112}

30 + \frac{89}{112}

The numeric value of:

30 + \frac{89}{112}

equals:

30 + \approx 0.7946

▷

\approx 30.7946

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