Simplify 1 - (7/3 x 5/4) + 3/5
The correct answer is B. -79/60
To simplify the expression 1 - (7/3 x 5/4) + 3/5, we can start by performing the multiplication inside the parentheses:
1 - (7/3 x 5/4) + 3/5 = 1 - (35/12) + 3/5
Now, we can subtract the fraction inside the parentheses from 1. To do this, we need to find a common denominator for the two fractions. The smallest common denominator for 1 and 12 is 12, so we can rewrite 1 as a fraction with a denominator of 12:
1 - (35/12) + 3/5 = (12/12) - (35/12) + 3/5
Now, we can subtract the two fractions with the same denominator:
(12/12) - (35/12) + 3/5 = (-23/12) + 3/5
Finally, we need to add the last fraction to the result. To do this, we need to find a common denominator for the two fractions. The smallest common denominator for 12 and 5 is 60, so we can rewrite both fractions with a denominator of 60:
(-23/12) + 3/5 = (-115/60) + (36/60)
Now, we can add the two fractions with the same denominator:
(-115/60) + (36/60) = (-79/60)
So, the simplified expression is -79/60
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