Add 21/40 and 48/45
1st number: 21/40, 2nd number: 1 3/45
21/40 + 48/45 is 191/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
21/40 = 21 × 9/40 × 9 = 189/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
48/45 = 48 × 8/45 × 8 = 384/360 - Add the two like fractions:
189/360 + 384/360 = 189 + 384/360 = 573/360 - 573/360 simplified gives 191/120
- So, 21/40 + 48/45 = 191/120
In mixed form: 171/120
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