College

We appreciate your visit to Match each fraction on the left with an equivalent fraction on the right Some options on the right will be used more than once begin. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Match each fraction on the left with an equivalent fraction on the right. Some options on the right will be used more than once.

\[
\begin{array}{ll}
\frac{4}{7} & \frac{9}{10} \\
\frac{18}{20} & \frac{30}{25} \\
\frac{6}{5} & \frac{12}{21} \\
\end{array}
\]

Answer :

To match each fraction on the left with an equivalent fraction on the right, let's break this procedure into simple steps:

1. Understand the Concept of Equivalent Fractions:
Equivalent fractions have the same value or represent the same part of a whole when simplified.

2. Simplify Fractions on the Left:
- [tex]\(\frac{4}{7}\)[/tex] is already in its simplest form.
- [tex]\(\frac{18}{20}\)[/tex] can be simplified. The greatest common divisor (GCD) of 18 and 20 is 2. Dividing both the numerator and denominator by 2 gives us [tex]\(\frac{9}{10}\)[/tex].
- [tex]\(\frac{6}{5}\)[/tex] is already in its simplest form.

3. Simplify Fractions on the Right:
- [tex]\(\frac{9}{10}\)[/tex] is already in its simplest form.
- [tex]\(\frac{30}{25}\)[/tex] can be simplified. The GCD of 30 and 25 is 5. Dividing both the numerator and denominator by 5 gives us [tex]\(\frac{6}{5}\)[/tex].
- [tex]\(\frac{12}{21}\)[/tex] can be simplified. The GCD of 12 and 21 is 3. Dividing both the numerator and denominator by 3 gives us [tex]\(\frac{4}{7}\)[/tex].

4. Match the Equivalent Fractions:
- [tex]\(\frac{4}{7}\)[/tex] on the left is equivalent to [tex]\(\frac{12}{21}\)[/tex] on the right.
- [tex]\(\frac{18}{20}\)[/tex] on the left simplifies to [tex]\(\frac{9}{10}\)[/tex], which matches [tex]\(\frac{9}{10}\)[/tex] on the right.
- [tex]\(\frac{6}{5}\)[/tex] on the left matches [tex]\(\frac{30}{25}\)[/tex] on the right, as they simplify to the same fraction.

5. Result:
- The first fraction [tex]\(\frac{4}{7}\)[/tex] matches [tex]\(\frac{12}{21}\)[/tex].
- The second fraction [tex]\(\frac{18}{20}\)[/tex] matches [tex]\(\frac{9}{10}\)[/tex].
- The third fraction [tex]\(\frac{6}{5}\)[/tex] matches [tex]\(\frac{30}{25}\)[/tex].

So the matching results are [tex]\(\frac{4}{7}\)[/tex] with [tex]\(\frac{12}{21}\)[/tex], [tex]\(\frac{18}{20}\)[/tex] with [tex]\(\frac{9}{10}\)[/tex], and [tex]\(\frac{6}{5}\)[/tex] with [tex]\(\frac{30}{25}\)[/tex].

Thanks for taking the time to read Match each fraction on the left with an equivalent fraction on the right Some options on the right will be used more than once begin. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada