Add 30/35 and 21/48
30/35 + 21/48 is 145/112.
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,
30/35 = 30 × 48/35 × 48 = 1440/1680 - Likewise, for the 2nd fraction, since 48 × 35 = 1680,
21/48 = 21 × 35/48 × 35 = 735/1680 - Add the two like fractions:
1440/1680 + 735/1680 = 1440 + 735/1680 = 2175/1680 - 2175/1680 simplified gives 145/112
- So, 30/35 + 21/48 = 145/112
In mixed form: 133/112
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