# How do you make new fractions that are equivalent to 6/24?

Dec 5, 2016

See explanation for the methods

#### Explanation:

Note that the question only askes for method. It does not specify what the equivalent fraction should be.

$\textcolor{b l u e}{\text{Reducing the numbers without changing value}}$

Observe that 6 will divide exactly into both 6 and 24

$\frac{6}{24} \equiv \frac{6 \div 6}{24 \div 6} = \frac{1}{4}$

The $\equiv$ means equivalent to

$6 \div 24 = 0.25 \text{; "1-:4=0.25 larr" both the same value}$

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$\textcolor{b l u e}{\text{Increasing the numbers without changing value}}$

$\textcolor{g r e e n}{\frac{6}{24} \textcolor{red}{\times 1} \text{ "-= " "6/24color(red)(xx3/3)" " =" } \frac{18}{72}}$

$6 \div 24 = 0.25 \text{; "18-:72=0.25 larr" both the same value}$