rewrite each pair of fractions as equivalent fractions with a common denominator?
2/3, 3/4
8/12 and 9/12
there were 303 cars on level A of the parking garage. If 2/3 of the cars were U.S. made, how many were foreign imports.
the common denominator is 12.
2/3x4 for each of the numbers=8/12.
3/4x3 for each of the numbers=9/12.
equilavent fraction of 4/16
Heavdu
To rewrite each pair of fractions as equivalent fractions with a common denominator, we need to find the least common denominator (LCD) between the two denominators.
Step 1: Find the least common multiple (LCM) of the denominators.
The denominators are 3 and 4.
To find the LCM, you can use different methods such as listing multiples or using prime factorization.
Listing multiples:
Multiples of 3: 3, 6, 9, 12, 15, 18, ...
Multiples of 4: 4, 8, 12, 16, 20, ...
From the given multiples, we can see that 12 is the smallest common multiple, which means it is the least common multiple or least common denominator (LCD).
Step 2: Rewrite the fractions with the common denominator.
Now that we have the LCD of 12, we can rewrite the fractions with this denominator. To do this, we need to multiply both the numerator and denominator of each fraction by the appropriate value so that the denominator becomes 12.
For the fraction 2/3:
Multiply the numerator and denominator by 4 (to get the denominator from 3 to 12).
2/3 * 4/4 = 8/12
For the fraction 3/4:
Multiply the numerator and denominator by 3 (to get the denominator from 4 to 12).
3/4 * 3/3 = 9/12
Therefore, the equivalent fractions with a common denominator of 12 are:
2/3 = 8/12
3/4 = 9/12