Add 27/8 and 40/45
1st number: 3 3/8, 2nd number: 40/45
27/8 + 40/45 is 307/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 8 × 45 = 360,
27/8 = 27 × 45/8 × 45 = 1215/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
40/45 = 40 × 8/45 × 8 = 320/360 - Add the two like fractions:
1215/360 + 320/360 = 1215 + 320/360 = 1535/360 - 1535/360 simplified gives 307/72
- So, 27/8 + 40/45 = 307/72
In mixed form: 419/72
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