Add 27/40 and 42/45
27/40 + 42/45 is 193/120.
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,
27/40 = 27 × 9/40 × 9 = 243/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
42/45 = 42 × 8/45 × 8 = 336/360 - Add the two like fractions:
243/360 + 336/360 = 243 + 336/360 = 579/360 - 579/360 simplified gives 193/120
- So, 27/40 + 42/45 = 193/120
In mixed form: 173/120
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