Add 30/50 and 49/56
30/50 + 49/56 is 59/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 56 is 1400
Next, find the equivalent fraction of both fractional numbers with denominator 1400 - For the 1st fraction, since 50 × 28 = 1400,
30/50 = 30 × 28/50 × 28 = 840/1400 - Likewise, for the 2nd fraction, since 56 × 25 = 1400,
49/56 = 49 × 25/56 × 25 = 1225/1400 - Add the two like fractions:
840/1400 + 1225/1400 = 840 + 1225/1400 = 2065/1400 - 2065/1400 simplified gives 59/40
- So, 30/50 + 49/56 = 59/40
In mixed form: 119/40
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