Equivalent Fractions
Fractions · Class VI
Pick a fraction p/q and a multiplier k. See an equivalent fraction (kp)/(kq).
- Original0.6667
- Scaled numerator8
- Scaled denominator12
- Equivalent value0.6667
Formulas in this lab
- Original
- Scaled numerator
- Scaled denominator
- Equivalent value
Frequently asked questions
▶What are equivalent fractions?
Two fractions are equivalent if they represent the same value. Multiplying both numerator and denominator by the same number k gives an equivalent fraction. So 2/3 and 8/12 are equivalent because 8/12 = (4*2)/(4*3).
▶How do I use the equivalent fractions lab?
Pick p, q and k with the sliders. The lab shows p/q and the equivalent (k*p)/(k*q) side by side as decimals. Both should show the same value, even though the numerator and denominator look bigger.
▶How are equivalent fractions used in Indian cooking?
Recipes often scale up or down. If a chai recipe needs 1/2 cup milk per cup of water and you want to make 4 cups of chai, you scale 1/2 to 4/8 by multiplying both parts by 4. Equivalent fractions keep the taste the same.
▶Equivalent fractions vs simplest form: what is the link?
An equivalent fraction can be bigger or smaller in numbers but holds the same value, while simplest form is the smallest pair with GCD 1. So 4/6, 6/9 and 2/3 are all equivalent; only 2/3 is in simplest form. Use the lab to multiply, then divide by GCD to simplify.