Add 35/45 and 4/21
35/45 + 4/21 is 61/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
35/45 = 35 × 7/45 × 7 = 245/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
4/21 = 4 × 15/21 × 15 = 60/315 - Add the two like fractions:
245/315 + 60/315 = 245 + 60/315 = 305/315 - 305/315 simplified gives 61/63
- So, 35/45 + 4/21 = 61/63
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