Find an equivalent fraction to 5/ 12
Answer: An equivalent fraction to 5/12 is 10/24.
Explanation
An equivalent fraction is a fraction that represents the same value or proportion as another fraction, even though it has a different numerator and denominator. Imagine cutting a cake into 12 equal slices and taking 5 of them (5/12). If you then cut each of those 12 slices in half, the cake would have 24 slices in total, and you would have 10 of those smaller slices (10/24). The amount of cake you have remains exactly the same.
The fundamental principle for finding an equivalent fraction is to multiply (or divide) both the numerator (the top number) and the denominator (the bottom number) by the same non-zero whole number. This works because multiplying a number by a fraction like 2/2, 3/3, or 4/4 is the same as multiplying by 1, which does not change the original value.
Step-by-Step Process:
- Start with the original fraction:
5/12 - Choose any whole number greater than 1. A simple choice is 2.
- Multiply the numerator by the chosen number:
5 × 2 = 10 - Multiply the denominator by the same number:
12 × 2 = 24 - Form the new fraction with the new numerator and denominator:
10/24
Consequently, 10/24 is an equivalent fraction to 5/12. This process can be repeated with any number to generate an infinite number of equivalent fractions. For example, multiplying by 3 would yield 15/36, and multiplying by 10 would yield 50/120. All these fractions—5/12, 10/24, 15/36, and 50/120—represent the exact same value.thumb_upthumb_down
