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