Add 40/9 and 56/40
1st number: 4 4/9, 2nd number: 1 16/40
40/9 + 56/40 is 263/45.
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,
56/40 = 56 × 9/40 × 9 = 504/360 - Add the two like fractions:
1600/360 + 504/360 = 1600 + 504/360 = 2104/360 - 2104/360 simplified gives 263/45
- So, 40/9 + 56/40 = 263/45
In mixed form: 538/45
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