Add 49/10 and 40/84
1st number: 4 9/10, 2nd number: 40/84
49/10 + 40/84 is 1129/210.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
49/10 = 49 × 42/10 × 42 = 2058/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Add the two like fractions:
2058/420 + 200/420 = 2058 + 200/420 = 2258/420 - 2258/420 simplified gives 1129/210
- So, 49/10 + 40/84 = 1129/210
In mixed form: 579/210
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