Respuesta :
The pair of fractions as a pair of fractions with a common denominator of 3/4 and 5/8 is [tex]\frac{24}{32} \text{ and } \frac{20}{32}[/tex]
Solution:
We have to write the given pair of fractions with a common denominator
Given fractions are:
[tex]\frac{3}{4} \text{ and } \frac{5}{8}[/tex]
To make the denominator of both fractions common, we have to find L.C.M of denominators (Least common multiple )
Here the denominators are 4 and 8
L.C.M of 4 and 8
List all prime factors for each number.
Prime Factorization of 4 is: 2 x 2
Prime Factorization of 8 is: 2 x 2 x 2
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 2
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 = 8
Thus L.C.M of 4 and 8 is 32
Given fraction is:
[tex]\frac{3}{4} \text{ and } \frac{5}{8}[/tex]
Multiply the denominator by a number so that it becomes 32 and multiply that same number with numerator also
[tex]\frac{3}{4} = \frac{3 \times 8}{4 \times 8} = \frac{24}{32}[/tex]
[tex]\frac{5}{8} = \frac{5 \times 4}{8 \times 4} = \frac{20}{32}[/tex]
Thus the pair of fractions as a pair of fractions with a common denominator of 3/4 and 5/8 is [tex]\frac{24}{32} \text{ and } \frac{20}{32}[/tex]
