Add 49/4 and 40/45
1st number: 12 1/4, 2nd number: 40/45
49/4 + 40/45 is 473/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 4 × 45 = 180,
49/4 = 49 × 45/4 × 45 = 2205/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
40/45 = 40 × 4/45 × 4 = 160/180 - Add the two like fractions:
2205/180 + 160/180 = 2205 + 160/180 = 2365/180 - 2365/180 simplified gives 473/36
- So, 49/4 + 40/45 = 473/36
In mixed form: 135/36
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