Write an equivalent expression for (1/y) - (1/4) using positive exponents.
Mathematics · Middle School · Thu Feb 04 2021
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To write an equivalent expression for (1/y) - (1/4) using positive exponents, we need to combine the two fractions. First, we find a common denominator, which in this case is simply the product of the two denominators, y and 4. The common denominator will be 4y.
Now, we rewrite each fraction with the common denominator:
(1/y) becomes (4/4y) because we multiply the top and the bottom by 4.
(1/4) becomes (y/4y) because we multiply the top and the bottom by y.
Now that they have the same denominator, we can subtract:
(4/4y) - (y/4y) = (4 - y)/4y
The resulting expression, (4 - y)/4y, has positive exponents and is the equivalent expression for (1/y) - (1/4).