Add 45/8 and 21/45
1st number: 5 5/8, 2nd number: 21/45
45/8 + 21/45 is 731/120.
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,
45/8 = 45 × 45/8 × 45 = 2025/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
21/45 = 21 × 8/45 × 8 = 168/360 - Add the two like fractions:
2025/360 + 168/360 = 2025 + 168/360 = 2193/360 - 2193/360 simplified gives 731/120
- So, 45/8 + 21/45 = 731/120
In mixed form: 611/120
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