Add 30/40 and 50/84
30/40 + 50/84 is 113/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 84 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
30/40 = 30 × 21/40 × 21 = 630/840 - Likewise, for the 2nd fraction, since 84 × 10 = 840,
50/84 = 50 × 10/84 × 10 = 500/840 - Add the two like fractions:
630/840 + 500/840 = 630 + 500/840 = 1130/840 - 1130/840 simplified gives 113/84
- So, 30/40 + 50/84 = 113/84
In mixed form: 129/84
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