Add 35/45 and 27/32
35/45 + 27/32 is 467/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 32 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 45 × 32 = 1440,
35/45 = 35 × 32/45 × 32 = 1120/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
27/32 = 27 × 45/32 × 45 = 1215/1440 - Add the two like fractions:
1120/1440 + 1215/1440 = 1120 + 1215/1440 = 2335/1440 - 2335/1440 simplified gives 467/288
- So, 35/45 + 27/32 = 467/288
In mixed form: 1179/288
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