For 7/20 what is an equivalent fraction with a denominator of 100
The Correct Answer and Explanation is :
The answer is: 35/100.
To find an equivalent fraction of 7/20 with a denominator of 100, you can follow these steps:
- Determine the multiplier: To go from a denominator of 20 to 100, you multiply 20 by 5 because 20 × 5 = 100.
- Multiply the numerator by the same factor: To keep the fraction equivalent, multiply the numerator by the same number. So, 7 × 5 = 35.
Thus, the equivalent fraction of 7/20 with a denominator of 100 is 35/100.
Explanation:
Equivalent fractions represent the same part of a whole, even though the numerator (top number) and the denominator (bottom number) might be different. In this case, we are starting with the fraction 7/20 and want to express it with a denominator of 100. To create an equivalent fraction, you must multiply or divide both the numerator and denominator by the same number so that the value of the fraction doesn’t change.
Here, we are given a denominator of 20 and asked to find an equivalent fraction with a denominator of 100. To go from 20 to 100, we multiply 20 by 5 (since 20 × 5 = 100). Since the fraction needs to remain equivalent, we must also multiply the numerator (7) by the same factor (5). Multiplying the numerator by 5 gives us 7 × 5 = 35. Therefore, 7/20 is equivalent to 35/100.
To double-check: If you divide 35 by 100, you get 0.35. Similarly, if you divide 7 by 20, you also get 0.35. Since both fractions result in the same decimal (0.35), we know they are equivalent.
In summary, 7/20 is equivalent to 35/100 because we multiplied both the numerator and denominator by the same factor (5), ensuring the value of the fraction stays the same.