Add 75/30 and 49/28
1st number: 2 15/30, 2nd number: 1 21/28
75/30 + 49/28 is 17/4.
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,
75/30 = 75 × 14/30 × 14 = 1050/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
49/28 = 49 × 15/28 × 15 = 735/420 - Add the two like fractions:
1050/420 + 735/420 = 1050 + 735/420 = 1785/420 - 1785/420 simplified gives 17/4
- So, 75/30 + 49/28 = 17/4
In mixed form: 41/4
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