Generate equivalent fractions

Equivalent fractions represent the same quantity or the same point on a number line, even though they may partition the whole into different numbers of equal parts. A fraction can be generated by multiplying or, when possible, dividing both numerator and denominator by the same nonzero whole number; changing only one part changes the value. The focus is on whole-number scaling and simplification, not algebraic treatment of arbitrary rational factors.

Detailed Explanation: Generate equivalent fractions

Equivalent fractions have the same value, even though their numerators and denominators may be different.

To make an equivalent fraction, multiply both the numerator and denominator by the same nonzero whole number.

Example

Generate an equivalent fraction for

\frac{3}{4}

using $5$ as the scale factor.

Multiply the numerator by $5$ :

3 \times 5 = 15

Multiply the denominator by $5$ :

4 \times 5 = 20

Write the new fraction:

\frac{3}{4}=\frac{15}{20}

So, $\frac{15}{20}$ is equivalent to $\frac{3}{4}$ . Both fractions represent the same amount because the numerator and denominator were multiplied by the same number.

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Fractions - Equivalent, Find Fraction - 1 digit with Equation

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