Add 40/45 and 30/48
40/45 + 30/48 is 109/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 48 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
40/45 = 40 × 16/45 × 16 = 640/720 - Likewise, for the 2nd fraction, since 48 × 15 = 720,
30/48 = 30 × 15/48 × 15 = 450/720 - Add the two like fractions:
640/720 + 450/720 = 640 + 450/720 = 1090/720 - 1090/720 simplified gives 109/72
- So, 40/45 + 30/48 = 109/72
In mixed form: 137/72
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