Add 42/45 and 7/24
42/45 + 7/24 is 49/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 24 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
42/45 = 42 × 8/45 × 8 = 336/360 - Likewise, for the 2nd fraction, since 24 × 15 = 360,
7/24 = 7 × 15/24 × 15 = 105/360 - Add the two like fractions:
336/360 + 105/360 = 336 + 105/360 = 441/360 - 441/360 simplified gives 49/40
- So, 42/45 + 7/24 = 49/40
In mixed form: 19/40
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