Add 35/50 and 21/40
35/50 + 21/40 is 49/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 40 is 200
Next, find the equivalent fraction of both fractional numbers with denominator 200 - For the 1st fraction, since 50 × 4 = 200,
35/50 = 35 × 4/50 × 4 = 140/200 - Likewise, for the 2nd fraction, since 40 × 5 = 200,
21/40 = 21 × 5/40 × 5 = 105/200 - Add the two like fractions:
140/200 + 105/200 = 140 + 105/200 = 245/200 - 245/200 simplified gives 49/40
- So, 35/50 + 21/40 = 49/40
In mixed form: 19/40
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