Add 40/45 and 75/24
1st number: 40/45, 2nd number: 3 3/24
40/45 + 75/24 is 289/72.
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,
75/24 = 75 × 15/24 × 15 = 1125/360 - Add the two like fractions:
320/360 + 1125/360 = 320 + 1125/360 = 1445/360 - 1445/360 simplified gives 289/72
- So, 40/45 + 75/24 = 289/72
In mixed form: 41/72
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