Add 10/21 and 32/45
10/21 + 32/45 is 374/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
10/21 = 10 × 15/21 × 15 = 150/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
32/45 = 32 × 7/45 × 7 = 224/315 - Add the two like fractions:
150/315 + 224/315 = 150 + 224/315 = 374/315 - So, 10/21 + 32/45 = 374/315
In mixed form: 159/315
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