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QUESTION IMAGE

apply: rewriting expressions \\(\\frac{7}{10} - \\frac{2}{10}\\) which …

Question

apply: rewriting expressions
\\(\frac{7}{10} - \frac{2}{10}\\)
which expression is equivalent to the one shown?
click or tap the correct answer.
a \\(\frac{1}{2}\\)
b \\(\frac{1}{2}\\) (with a typo?)
c \\(\frac{9}{10}\\)
d \\(\frac{9}{10}\\) (with a typo?)

Explanation:

Step1: Subtract the numerators

Since the denominators are the same ($10$), we subtract the numerators: $7 - 2 = 5$. So the result of the subtraction is $\frac{7 - 2}{10}=\frac{5}{10}$.

Step2: Simplify the fraction

Simplify $\frac{5}{10}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $5$. So $\frac{5\div5}{10\div5}=\frac{1}{2}$.

Answer:

A. $\frac{1}{2}$