Add 24/45 and 42/84
24/45 + 42/84 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
24/45 = 24 × 28/45 × 28 = 672/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
42/84 = 42 × 15/84 × 15 = 630/1260 - Add the two like fractions:
672/1260 + 630/1260 = 672 + 630/1260 = 1302/1260 - 1302/1260 simplified gives 31/30
- So, 24/45 + 42/84 = 31/30
In mixed form: 11/30
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