Add 40/45 and 21/32
40/45 + 21/32 is 445/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 32 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 45 × 32 = 1440,
40/45 = 40 × 32/45 × 32 = 1280/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
21/32 = 21 × 45/32 × 45 = 945/1440 - Add the two like fractions:
1280/1440 + 945/1440 = 1280 + 945/1440 = 2225/1440 - 2225/1440 simplified gives 445/288
- So, 40/45 + 21/32 = 445/288
In mixed form: 1157/288
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