Name: Expressing Fractions in Simplest Form
Uploaded: 2019-07-19
Duration: 6 min 41 s
Description: Watch this video to learn about equivalent fractions and everything about how to express a fraction in the simplest form. Let's learn the concept.

Question

Choose the equivalent rational numbers from the following rational numbers:

\frac{4}{12}, \frac{8}{24}, \frac{1}{3}, \frac{16}{36}, \frac{25}{75}

Accepted Answer

Equivalent rational numbers look different but their values are equal.
If we multiply/divide the numerator and the denominator of the rational number by the same number we will get the equivalent rational number of the given rational number.
To check which are equivalent rational numbers, we need to compare the rational numbers.
Let us take $\frac{4}{12}$ and $\frac{8}{24}$ .
Now, we will multiply the denominator $(12)$ of the first rational number with the numerator $(8)$ of the second rational number and multiply the denominator $(24)$ of the second rational number with the numerator $(4)$ of the first rational number.
If the products are equal then these fractions can be called as equivalent rational numbers.
$12 \times 8 = 96 24 \times 4 = 96$
Thus, the above rational numbers are equivalent.
Similarly, $\frac{4}{12}$ and $\frac{1}{3}$ are equivalent rational numbers as $12 \times 1 = 12, 4 \times 3 = 12$ .
$\frac{4}{12}$ and $\frac{16}{36}$ are not equivalent rational numbers as $12 \times 16 = 192, 36 \times 4 = 144$ .
$\frac{4}{12}$ and $\frac{25}{75}$ are equivalent rational numbers as $12 \times 25 = 300, 4 \times 75 = 300$ .
Thus, $\frac{4}{12}, \frac{8}{24}, \frac{1}{3}, \frac{25}{75}$ are equivalent rational numbers.

Choose the equivalent rational numbers from the following rational numbers:
$\frac{4}{12}, \frac{8}{24}, \frac{1}{3}, \frac{16}{36}, \frac{25}{75}$

Important Questions on Rational Numbers

Learn and Prepare for any exam you want !

Choose the equivalent rational numbers from the following rational numbers: 412, 824, 13, 1636, 2575

Important Questions on Rational Numbers

Learn and Prepare for any exam you want !

Choose the equivalent rational numbers from the following rational numbers:
$\frac{4}{12}, \frac{8}{24}, \frac{1}{3}, \frac{16}{36}, \frac{25}{75}$