Write 3/4 as an equivalent fraction with denominator 24
The Correct Answer and Explanation is:
To write 3/4 as an equivalent fraction with a denominator of 24, follow these steps:
Step-by-step solution:
We want to rewrite the fraction 3/4 so that it has 24 as the denominator.
- Start with the original fraction: 34\frac{3}{4}43
- Find a number that you can multiply 4 by to get 24: 4×6=244 \times 6 = 244×6=24
- Since we are changing the denominator by multiplying it by 6, we must also multiply the numerator by the same number to keep the fraction equivalent: 3×6=183 \times 6 = 183×6=18
- Now write the equivalent fraction: 34=1824\frac{3}{4} = \frac{18}{24}43=2418
Final Answer:
1824\boxed{\frac{18}{24}}2418
Explanation
An equivalent fraction represents the same value as the original, even though it may look different. Fractions are composed of two parts: the numerator (the top number) and the denominator (the bottom number). In this case, we start with the fraction 3/4, where 3 is the numerator and 4 is the denominator.
To make this fraction have a denominator of 24, we look for a number that 4 can be multiplied by to become 24. That number is 6 because 4 times 6 equals 24. However, we cannot just change the denominator alone. We must multiply both the numerator and the denominator by the same number to maintain the value of the fraction. This keeps the ratio between the two numbers the same.
So, we multiply the numerator (3) by 6, which gives 18. Then we multiply the denominator (4) by 6, which gives 24. As a result, the fraction 3/4 becomes 18/24.
Both 3/4 and 18/24 represent the same part of a whole. If you simplify 18/24 by dividing both the numerator and the denominator by their greatest common divisor, which is 6, you would return to the original fraction 3/4.
This process of finding equivalent fractions is helpful when adding or subtracting fractions with different denominators, or when comparing them.
