Add 7/40 and 42/45
7/40 + 42/45 is 133/120.
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,
7/40 = 7 × 9/40 × 9 = 63/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
42/45 = 42 × 8/45 × 8 = 336/360 - Add the two like fractions:
63/360 + 336/360 = 63 + 336/360 = 399/360 - 399/360 simplified gives 133/120
- So, 7/40 + 42/45 = 133/120
In mixed form: 113/120
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