Add 21/45 and 27/40
21/45 + 27/40 is 137/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
21/45 = 21 × 8/45 × 8 = 168/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
27/40 = 27 × 9/40 × 9 = 243/360 - Add the two like fractions:
168/360 + 243/360 = 168 + 243/360 = 411/360 - 411/360 simplified gives 137/120
- So, 21/45 + 27/40 = 137/120
In mixed form: 117/120
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