Which of the following list of fractions is equivalent to $\frac { 7 } { 10 } ?$
A) $\frac { 14 } { 20 } , \frac { 28 } { 40 } , \frac { 35 } { 50 } , \frac { 49 } { 70 } , \frac { 70 } { 100 }$
B) $\frac { 7 } { 20 } , \frac { 7 } { 40 } , \frac { 7 } { 50 } , \frac { 7 } { 70 } , \frac { 7 } { 100 }$
C) $\frac { 14 } { 10 } , \frac { 28 } { 10 } , \frac { 35 } { 10 } , \frac { 49 } { 10 } , \frac { 70 } { 10 }$
D) $\frac { 14 } { 20 } , \frac { 9 } { 40 } , \frac { 35 } { 50 } , \frac { 49 } { 70 } , \frac { 70 } { 100 }$

Question

Quizplus · Accepted Answer

To find equivalent fractions, we can simplify the given fraction by dividing the numerator and the denominator by their greatest common factor. In this case, the greatest common factor of 7 and 10 is 1, so the given fraction is already in simplest form. We can then find equivalent fractions by multiplying both the numerator and the denominator by the same non-zero integer. Choice A lists fractions that have the same value as $\frac { 7 } { 10 }$ by multiplying both the numerator and the denominator by 2, 4, 5, 7, and 10, respectively.

Which of the Following List of Fractions Is Equivalent To \frac