Add 48/49 and 20/45
48/49 + 20/45 is 628/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 45 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 49 × 45 = 2205,
48/49 = 48 × 45/49 × 45 = 2160/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
20/45 = 20 × 49/45 × 49 = 980/2205 - Add the two like fractions:
2160/2205 + 980/2205 = 2160 + 980/2205 = 3140/2205 - 3140/2205 simplified gives 628/441
- So, 48/49 + 20/45 = 628/441
In mixed form: 1187/441
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