Mathematics, 14.01.2020 02:31 badpotterchris

Write the pair of fractions as a pair of fractions with a common denominator of 3/4 and 5/8

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The pair of fractions as a pair of fractions with a common denominator of 3/4 and 5/8 is $\frac{24}{32} \text{ and } \frac{20}{32}$

Solution:

We have to write the given pair of fractions with a common denominator

Given fractions are:

$\frac{3}{4} \text{ and } \frac{5}{8}$

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:

$\frac{3}{4} \text{ and } \frac{5}{8}$

Multiply the denominator by a number so that it becomes 32 and multiply that same number with numerator also

$\frac{3}{4} = \frac{3 \times 8}{4 \times 8} = \frac{24}{32}$

$\frac{5}{8} = \frac{5 \times 4}{8 \times 4} = \frac{20}{32}$

Thus the pair of fractions as a pair of fractions with a common denominator of 3/4 and 5/8 is $\frac{24}{32} \text{ and } \frac{20}{32}$

Answer from: Quest

answer: i'm not sure

step-by-step explanation:

Which transformations, when performed together, would carry graph a onto graph b? choose all that a

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

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Write the pair of fractions as a pair of fractions with a common denominator of 3/4 and 5/8...

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