
Reviewed by Franz Jerby Delos Santos
What is equivalent to 2/5?
Answer: Equivalent fractions to 2/5 are 4/10, 6/15, 8/20, and so on
Finding equivalent fractions involves expressing a fraction like 2/5 in different forms that represent the same value. Equivalent fractions are created by multiplying or dividing both the numerator and denominator by the same nonzero number. This is useful for comparing, adding, or subtracting fractions, as well as simplifying them.
Methods
Math Tutor Explanation Using Multiplication:
One way to find fractions equivalent to 2/5 is to multiply both the numerator and the denominator by the same whole number.
Step 1: Step 1: Choose a whole number (other than zero), such as 2
Step 2: Step 2: Multiply both the numerator (2) and denominator (5) by this number: 2 × 2 = 4 and 5 × 2 = 10, yielding 4/10
Math Tutor Explanation Using Division (Simplification):
You can also create equivalent fractions by dividing the numerator and the denominator by the same common factor if possible (in this case, 2/5 is already simplified, but this shows the reverse process).
Step 1: Step 1: Identify any common factor for the numerator and denominator greater than 1
Step 2: Step 2: If possible, divide both by that factor to simplify or reverse the process to make larger equivalents
Step 1:
Step 2:
Math Tutor suggests: Practice Finding Equivalent Fractions
Expand your understanding of equivalent fractions with these related exercises. These questions will help you recognize and work with equivalent fractions in different forms.
FAQ on Equivalent Fractions
How do I know two fractions are equivalent?
Two fractions are equivalent if they reduce to the same simplest form or have the same decimal value.
Can equivalent fractions look different?
Yes, the numerators and denominators may differ, but the overall value is the same.
Is 4/10 equivalent to 2/5?
Yes, because 4 divided by 10 equals 0.4, which is the same as 2 divided by 5.
What is the decimal form of 2/5?
The decimal form of 2/5 is 0.4.