Add 27/8 and 42/45
1st number: 3 3/8, 2nd number: 42/45
27/8 + 42/45 is 517/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 8 × 45 = 360,
27/8 = 27 × 45/8 × 45 = 1215/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
42/45 = 42 × 8/45 × 8 = 336/360 - Add the two like fractions:
1215/360 + 336/360 = 1215 + 336/360 = 1551/360 - 1551/360 simplified gives 517/120
- So, 27/8 + 42/45 = 517/120
In mixed form: 437/120
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