Final answer:
To convert 4/10 to a fraction with a denominator of 100, multiply both the numerator and the denominator by 10 to get 40/100, which is also the percentage form of the original fraction.
Step-by-step explanation:
To give the fraction 4/10 a denominator of 100, we need to find an equivalent fraction by scaling up.
To scale up, we think of a number that 10 can be multiplied by to reach 100. Since 10 × 10 = 100, we can multiply both the numerator and the denominator of the fraction by 10 to maintain the proportion:
4/10 × 10/10 = 40/100.
This process of converting can also be seen in the concept of percentages.
A percent is a special type of fraction where the denominator is always 100. Thus, 4/10 is equivalent to 40%, since 40/100 is the same as saying 40 per 100.
To give 4/10 a denominator of 100, you need to multiply the numerator and denominator by the same number. In this case, you can multiply by 10 to get an equivalent fraction. So, 4/10 is equivalent to 40/100.