Add 21/32 and 35/45
21/32 + 35/45 is 413/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 32 × 45 = 1440,
21/32 = 21 × 45/32 × 45 = 945/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
35/45 = 35 × 32/45 × 32 = 1120/1440 - Add the two like fractions:
945/1440 + 1120/1440 = 945 + 1120/1440 = 2065/1440 - 2065/1440 simplified gives 413/288
- So, 21/32 + 35/45 = 413/288
In mixed form: 1125/288
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