10 5/6 + 18 19/20

⚠ 10 5/6 is read as the mixed number 10 + 5/6■18 19/20 is read as the mixed number 18 + 19/20

Let's evaluate:

10

+ \frac{5}{6}

+ 18

+ \frac{19}{20}

ⓘ Start from

10

and move forward

18

on the number line:

10 + 18

28

28 + \frac{5}{6} + \frac{19}{20}

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

60

, the least common multiple of

6

and

20

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

\frac{5}{6} + \frac{19}{20}

\frac{5 \times 10}{6 \times 10} + \frac{19 \times 3}{20 \times 3}

\frac{5 \times 10 + 19 \times 3}{6 \times 10}

28 + \frac{5 \times 10 + 19 \times 3}{6 \times 10}

ⓘ Perform multiplications before additions and subtractions:

5 \times 10

50

19 \times 3

(10 + 9) \times 3

10 \times 3 + 9 \times 3

30 + 27

57

ⅰ

6 \times 10

60

28 + \frac{50 + 57}{60}

ⓘ Calculate the numerator and denominator before dividing:

50 + 57

107

28 + \frac{107}{60}

▶Result:

29

\frac{47}{60}

ⓘ The fraction

\frac{107}{60}

is greater than 1: extract

1

from it and add it to the whole part:

28 + \frac{107}{60}

28 + \frac{60 + 47}{60}

28 + \frac{60}{60} + \frac{47}{60}

28 + 1 + \frac{47}{60}

29 + \frac{47}{60}

The numeric value of:

29 + \frac{47}{60}

equals:

29 + \approx 0.7833

▷

\approx 29.7833

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