Add 20/30 and 45/48
20/30 + 45/48 is 77/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
20/30 = 20 × 8/30 × 8 = 160/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
45/48 = 45 × 5/48 × 5 = 225/240 - Add the two like fractions:
160/240 + 225/240 = 160 + 225/240 = 385/240 - 385/240 simplified gives 77/48
- So, 20/30 + 45/48 = 77/48
In mixed form: 129/48
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