In What Situation Can You Use Only Multiplication to Find Equivalent Fractions to a Given Fraction
Equivalent Fractions Estimator
Reckoner Use
Observe equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries:
- Fraction - like two/three or 15/16
- Mixed number - like ane i/ii or four 5/6
- Integer - like five or 28
What are Equivalent Fractions?
Equivalent fractions are fractions with unlike numbers representing the same part of a whole. They accept unlike numerators and denominators, merely their fractional values are the same.
For example, think nigh the fraction 1/ii. It means one-half of something. You can also say that vi/12 is one-half, and that 50/100 is half. They stand for the same function of the whole. These equivalent fractions comprise dissimilar numbers only they hateful the same thing: 1/2 = half-dozen/12 = l/100
How to Find Equivalent Fractions
Multiply both the numerator and denominator of a fraction past the same whole number. As long as you multiply both meridian and bottom of the fraction by the same number, you lot won't change the value of the fraction, and you'll create an equivalent fraction.
Example Equivalent Fractions
Find fractions equivalent to 3/iv past multiplying the numerator and denominator by the same whole number:
\( \dfrac{three}{4} \times \dfrac{2}{2} = \dfrac{6}{8} \)
\( \dfrac{three}{four} \times \dfrac{iii}{3} = \dfrac{9}{12} \)
\( \dfrac{3}{iv} \times \dfrac{4}{4} = \dfrac{12}{16} \)
\( \dfrac{three}{4} \times \dfrac{v}{5} = \dfrac{15}{20} \)
\( \dfrac{3}{four} \times \dfrac{6}{6} = \dfrac{18}{24} \)
Therefore these are all equivalent fractions:
\( \dfrac{3}{four} = \dfrac{six}{eight} = \dfrac{nine}{12} = \dfrac{fifteen}{20} = \dfrac{18}{24} \)
Note that if you reduce all of these fractions to lowest terms, they equal three/4.
For additional fraction help see our Fractions Figurer, Simplify Fractions Figurer and Mixed Numbers Reckoner.
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