Add 49/84 and 30/40
49/84 + 30/40 is 4/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 84 × 10 = 840,
49/84 = 49 × 10/84 × 10 = 490/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
30/40 = 30 × 21/40 × 21 = 630/840 - Add the two like fractions:
490/840 + 630/840 = 490 + 630/840 = 1120/840 - 1120/840 simplified gives 4/3
- So, 49/84 + 30/40 = 4/3
In mixed form: 11/3
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