Add 21/14 and 75/32
1st number: 1 7/14, 2nd number: 2 11/32
21/14 + 75/32 is 123/32.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 32 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 14 × 16 = 224,
21/14 = 21 × 16/14 × 16 = 336/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
75/32 = 75 × 7/32 × 7 = 525/224 - Add the two like fractions:
336/224 + 525/224 = 336 + 525/224 = 861/224 - 861/224 simplified gives 123/32
- So, 21/14 + 75/32 = 123/32
In mixed form: 327/32
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