Add 40/9 and 75/40
1st number: 4 4/9, 2nd number: 1 35/40
40/9 + 75/40 is 455/72.
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,
75/40 = 75 × 9/40 × 9 = 675/360 - Add the two like fractions:
1600/360 + 675/360 = 1600 + 675/360 = 2275/360 - 2275/360 simplified gives 455/72
- So, 40/9 + 75/40 = 455/72
In mixed form: 623/72
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