Add 32/45 and 40/56
32/45 + 40/56 is 449/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 56 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 45 × 56 = 2520,
32/45 = 32 × 56/45 × 56 = 1792/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
40/56 = 40 × 45/56 × 45 = 1800/2520 - Add the two like fractions:
1792/2520 + 1800/2520 = 1792 + 1800/2520 = 3592/2520 - 3592/2520 simplified gives 449/315
- So, 32/45 + 40/56 = 449/315
In mixed form: 1134/315
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