Add 30/40 and 21/32
30/40 + 21/32 is 45/32.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 32 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 40 × 4 = 160,
30/40 = 30 × 4/40 × 4 = 120/160 - Likewise, for the 2nd fraction, since 32 × 5 = 160,
21/32 = 21 × 5/32 × 5 = 105/160 - Add the two like fractions:
120/160 + 105/160 = 120 + 105/160 = 225/160 - 225/160 simplified gives 45/32
- So, 30/40 + 21/32 = 45/32
In mixed form: 113/32
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