rewrite each pair of unlike fractions as like fractions
1/4 and 2/3 can be rewritten as 3/12 and 8/12
To rewrite each pair of unlike fractions as like fractions, you need to find a common denominator for both fractions.
Here's the step-by-step process:
1. Identify the denominators of the two fractions.
2. Find the least common multiple (LCM) of the denominators. The LCM is the smallest multiple that both denominators share.
3. Multiply the numerator and denominator of each fraction by the appropriate factor so that both fractions have the same denominator as the LCM.
4. Once both fractions have the same denominator, they can be considered like fractions.
Let's go through an example to make it clearer:
Example: Rewrite 1/2 and 3/4 as like fractions.
Step 1: The denominators are 2 and 4.
Step 2: Find the LCM of 2 and 4. The multiples of 2 are 2, 4, 6, 8, 10, 12, ... and the multiples of 4 are 4, 8, 12, 16, 20, 24, ... The LCM is 4 since it is the first common multiple.
Step 3: Multiply the numerator and denominator of 1/2 by 2, and the numerator and denominator of 3/4 by 1.
- 1/2 becomes (1 * 2) / (2 * 2) = 2/4.
- 3/4 remains the same.
Step 4: Now both fractions have the same denominator of 4, so they are already like fractions.
The final result is 2/4 and 3/4 as like fractions.