Add 8/21 and 30/40
8/21 + 30/40 is 95/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 21 × 40 = 840,
8/21 = 8 × 40/21 × 40 = 320/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
30/40 = 30 × 21/40 × 21 = 630/840 - Add the two like fractions:
320/840 + 630/840 = 320 + 630/840 = 950/840 - 950/840 simplified gives 95/84
- So, 8/21 + 30/40 = 95/84
In mixed form: 111/84
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