Add 35/40 and 42/45
35/40 + 42/45 is 217/120.
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,
35/40 = 35 × 9/40 × 9 = 315/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
42/45 = 42 × 8/45 × 8 = 336/360 - Add the two like fractions:
315/360 + 336/360 = 315 + 336/360 = 651/360 - 651/360 simplified gives 217/120
- So, 35/40 + 42/45 = 217/120
In mixed form: 197/120
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