Add 49/40 and 9/45
1st number: 1 9/40, 2nd number: 9/45
49/40 + 9/45 is 57/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
49/40 = 49 × 9/40 × 9 = 441/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
9/45 = 9 × 8/45 × 8 = 72/360 - Add the two like fractions:
441/360 + 72/360 = 441 + 72/360 = 513/360 - 513/360 simplified gives 57/40
- So, 49/40 + 9/45 = 57/40
In mixed form: 117/40
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