Equivalent Fraction of 3/5 with 100 as the Denominator

To express the fraction 3/5 as an equivalent fraction with 100 as the denominator, we need to find a numerator that, when divided by 5, gives us a quotient that, when multiplied by 100, gives us a whole number. Here's how we can do it:

Step 1: Determine the equivalent denominator
Since we want the denominator to be 100, we need to find the equivalent fraction that has 100 as the denominator. The equivalent denominator can be found by multiplying the original denominator (5) by a number that gives us the desired denominator (100). We can do this by multiplying 5 by 20:

5 x 20 = 100

So, the equivalent denominator is 100.

Step 2: Determine the equivalent numerator
To find the equivalent numerator, we need to multiply the original numerator (3) by the same number we multiplied the denominator by (20). This will ensure that the fraction remains equivalent.

3 x 20 = 60

So, the equivalent numerator is 60.

Step 3: Write the equivalent fraction
Now that we have determined the equivalent numerator (60) and denominator (100), we can write the equivalent fraction:

3/5 = 60/100

Therefore, the equivalent fraction of 3/5 with 100 as the denominator is 60/100.

Explanation:
To express a fraction as an equivalent fraction with a different denominator, we need to multiply both the numerator and denominator by the same non-zero number. This does not change the value of the fraction, but it changes its representation.

In this case, we wanted to express the fraction 3/5 with 100 as the denominator. To do this, we multiplied both the numerator and denominator by 20. This resulted in the equivalent fraction 60/100. When simplified, 60/100 is equivalent to 3/5.

By finding the equivalent fraction, we have effectively found a different way to represent the same value. This can be useful in various mathematical operations and comparisons.