Add 36/40 and 5/42
36/40 + 5/42 is 107/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
36/40 = 36 × 21/40 × 21 = 756/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
5/42 = 5 × 20/42 × 20 = 100/840 - Add the two like fractions:
756/840 + 100/840 = 756 + 100/840 = 856/840 - 856/840 simplified gives 107/105
- So, 36/40 + 5/42 = 107/105
In mixed form: 12/105
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