# Calculator addition of three mixed numbers

### 1 3/8 + 6 11/13 + 5 7/8 = 73352 = 14552 ≅ 14.0961538

Spelled result in words is fourteen and five fifty-seconds (or seven hundred thirty-three fifty-seconds). ### Calculation steps

- Conversion a mixed number 1 38 to a improper fraction: 1 3/8 = 1 38 = 1 · 8 + 38 = 8 + 38 = 118

To find new numerator:

a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 88 = 88

b) Add the answer from previous step 8 to the numerator 3. New numerator is 8 + 3 = 11

c) Write previous answer (new numerator 11) over the denominator 8.

One and three eighths is eleven eighths - Conversion a mixed number 6 1113 to a improper fraction: 6 11/13 = 6 1113 = 6 · 13 + 1113 = 78 + 1113 = 8913

To find new numerator:

a) Multiply the whole number 6 by the denominator 13. Whole number 6 equally 6 * 1313 = 7813

b) Add the answer from previous step 78 to the numerator 11. New numerator is 78 + 11 = 89

c) Write previous answer (new numerator 89) over the denominator 13.

Six and eleven thirteenths is eighty-nine thirteenths - Add: 118 + 8913 = 11 · 138 · 13 + 89 · 813 · 8 = 143104 + 712104 = 143 + 712104 = 855104

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 13) = 104. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 13 = 104. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - eleven eighths plus eighty-nine thirteenths = eight hundred fifty-five one-hundred fourths. - Conversion a mixed number 5 78 to a improper fraction: 5 7/8 = 5 78 = 5 · 8 + 78 = 40 + 78 = 478

To find new numerator:

a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 88 = 408

b) Add the answer from previous step 40 to the numerator 7. New numerator is 40 + 7 = 47

c) Write previous answer (new numerator 47) over the denominator 8.

Five and seven eighths is forty-seven eighths - Add: the result of step No. 3 + 478 = 855104 + 478 = 855104 + 47 · 138 · 13 = 855104 + 611104 = 855 + 611104 = 1466104 = 2 · 7332 · 52 = 73352

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(104, 8) = 104. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 104 × 8 = 832. In the next intermediate step cancelling by a common factor of 2 gives 73352.

In words - eight hundred fifty-five one-hundred fourths plus forty-seven eighths = seven hundred thirty-three fifty-seconds.

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#### Examples:

• addition of two mixed numbers: 2 1/2 + 4 2/3• addition of three mixed numbers: 1 3/8 + 6 11/13 + 5 7/8

• subtracting two mixed numbers: 7 1/2 - 5 3/4

• multiplication of mixed numbers: 3 3/4 * 2 2/5

• comparing mixed numbers: 3 1/4 2 1/3

• sum mixed number and an improper fraction: 1 3/5 + 11/5