Add 30/45 and 10/16
30/45 + 10/16 is 31/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 16 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
30/45 = 30 × 16/45 × 16 = 480/720 - Likewise, for the 2nd fraction, since 16 × 45 = 720,
10/16 = 10 × 45/16 × 45 = 450/720 - Add the two like fractions:
480/720 + 450/720 = 480 + 450/720 = 930/720 - 930/720 simplified gives 31/24
- So, 30/45 + 10/16 = 31/24
In mixed form: 17/24
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