Add 10/45 and 30/32
10/45 + 30/32 is 167/144.
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,
10/45 = 10 × 32/45 × 32 = 320/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
30/32 = 30 × 45/32 × 45 = 1350/1440 - Add the two like fractions:
320/1440 + 1350/1440 = 320 + 1350/1440 = 1670/1440 - 1670/1440 simplified gives 167/144
- So, 10/45 + 30/32 = 167/144
In mixed form: 123/144
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