Simplify 1 and 1/2 × 5/6 + 1 and 1/4
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To simplify this expression, we need to first convert the mixed numbers to improper fractions:
1 and 1/2 = 3/2
1 and 1/4 = 5/4
Now we can plug in the values and perform the multiplication and addition:
3/2 × 5/6 + 5/4
To add the two fractions, we need a common denominator. The lowest common multiple of 2 and 4 is 4. We can convert both fractions to have a denominator of 4:
3/2 × 5/6 + 5/4 = 6/4 × 5/6 + 5/4 = 5/4 + 5/4 = 10/4
Finally, we can simplify by dividing both the numerator and denominator by their greatest common factor, which is 2:
10/4 ÷ 2/2 = 5/2
Therefore, the simplified expression is 5/2.