Add 30/45 and 45/48
30/45 + 45/48 is 77/48.
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,
30/45 = 30 × 16/45 × 16 = 480/720 - Likewise, for the 2nd fraction, since 48 × 15 = 720,
45/48 = 45 × 15/48 × 15 = 675/720 - Add the two like fractions:
480/720 + 675/720 = 480 + 675/720 = 1155/720 - 1155/720 simplified gives 77/48
- So, 30/45 + 45/48 = 77/48
In mixed form: 129/48
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