Add 45/40 and 21/14
1st number: 1 5/40, 2nd number: 1 7/14
45/40 + 21/14 is 21/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
45/40 = 45 × 7/40 × 7 = 315/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
21/14 = 21 × 20/14 × 20 = 420/280 - Add the two like fractions:
315/280 + 420/280 = 315 + 420/280 = 735/280 - 735/280 simplified gives 21/8
- So, 45/40 + 21/14 = 21/8
In mixed form: 25/8
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