Add 40/9 and 64/40
1st number: 4 4/9, 2nd number: 1 24/40
40/9 + 64/40 is 272/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
40/9 = 40 × 40/9 × 40 = 1600/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
64/40 = 64 × 9/40 × 9 = 576/360 - Add the two like fractions:
1600/360 + 576/360 = 1600 + 576/360 = 2176/360 - 2176/360 simplified gives 272/45
- So, 40/9 + 64/40 = 272/45
In mixed form: 62/45
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