Add 7/84 and 42/45
7/84 + 42/45 is 61/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
7/84 = 7 × 15/84 × 15 = 105/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
42/45 = 42 × 28/45 × 28 = 1176/1260 - Add the two like fractions:
105/1260 + 1176/1260 = 105 + 1176/1260 = 1281/1260 - 1281/1260 simplified gives 61/60
- So, 7/84 + 42/45 = 61/60
In mixed form: 11/60
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