Write the fraction 4/15 as an equivalent fraction with a denominator of 75.
To write the fraction 4/15 as an equivalent fraction with a denominator of 75, we need to find the equivalent numerator. We can do this by multiplying the original numerator by the same factor we multiply the original denominator to get to 75.
First, we find the factor by dividing 75 by 15:
75 ÷ 15 = 5
Next, we multiply the original numerator by this factor to find the equivalent numerator:
4 × 5 = 20
Therefore, 4/15 as an equivalent fraction with a denominator of 75 is 20/75.
To write the fraction 4/15 as an equivalent fraction with a denominator of 75, follow these steps:
Step 1: Find the common multiple of 15 and 75, which is 75.
Step 2: Determine how many times the denominator 15 goes into the new denominator 75. Divide 75 by 15, which equals 5.
Step 3: Multiply both the numerator and the denominator of the original fraction by the same number (5 in this case) to get the equivalent fraction.
So, 4/15 is equivalent to (4 × 5)/(15 × 5), which simplifies to 20/75.
Therefore, the fraction 4/15 is equivalent to 20/75.