Add 21/35 and 30/48
21/35 + 30/48 is 49/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 48 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 35 × 48 = 1680,
21/35 = 21 × 48/35 × 48 = 1008/1680 - Likewise, for the 2nd fraction, since 48 × 35 = 1680,
30/48 = 30 × 35/48 × 35 = 1050/1680 - Add the two like fractions:
1008/1680 + 1050/1680 = 1008 + 1050/1680 = 2058/1680 - 2058/1680 simplified gives 49/40
- So, 21/35 + 30/48 = 49/40
In mixed form: 19/40
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