Add 40/45 and 21/24
40/45 + 21/24 is 127/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 24 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
40/45 = 40 × 8/45 × 8 = 320/360 - Likewise, for the 2nd fraction, since 24 × 15 = 360,
21/24 = 21 × 15/24 × 15 = 315/360 - Add the two like fractions:
320/360 + 315/360 = 320 + 315/360 = 635/360 - 635/360 simplified gives 127/72
- So, 40/45 + 21/24 = 127/72
In mixed form: 155/72
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