Add 45/16 and 75/21
1st number: 2 13/16, 2nd number: 3 12/21
45/16 + 75/21 is 715/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 21 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 16 × 21 = 336,
45/16 = 45 × 21/16 × 21 = 945/336 - Likewise, for the 2nd fraction, since 21 × 16 = 336,
75/21 = 75 × 16/21 × 16 = 1200/336 - Add the two like fractions:
945/336 + 1200/336 = 945 + 1200/336 = 2145/336 - 2145/336 simplified gives 715/112
- So, 45/16 + 75/21 = 715/112
In mixed form: 643/112
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