Add 45/30 and 75/28
1st number: 1 15/30, 2nd number: 2 19/28
45/30 + 75/28 is 117/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
45/30 = 45 × 14/30 × 14 = 630/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
75/28 = 75 × 15/28 × 15 = 1125/420 - Add the two like fractions:
630/420 + 1125/420 = 630 + 1125/420 = 1755/420 - 1755/420 simplified gives 117/28
- So, 45/30 + 75/28 = 117/28
In mixed form: 45/28
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