Add 45/50 and 21/40
45/50 + 21/40 is 57/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 40 is 200
Next, find the equivalent fraction of both fractional numbers with denominator 200 - For the 1st fraction, since 50 × 4 = 200,
45/50 = 45 × 4/50 × 4 = 180/200 - Likewise, for the 2nd fraction, since 40 × 5 = 200,
21/40 = 21 × 5/40 × 5 = 105/200 - Add the two like fractions:
180/200 + 105/200 = 180 + 105/200 = 285/200 - 285/200 simplified gives 57/40
- So, 45/50 + 21/40 = 57/40
In mixed form: 117/40
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