Add 40/45 and 6/21
40/45 + 6/21 is 74/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
40/45 = 40 × 7/45 × 7 = 280/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
6/21 = 6 × 15/21 × 15 = 90/315 - Add the two like fractions:
280/315 + 90/315 = 280 + 90/315 = 370/315 - 370/315 simplified gives 74/63
- So, 40/45 + 6/21 = 74/63
In mixed form: 111/63
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