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3 years ago

Write the pair of fractions 1/4 and 1/6 as a pair of fractions with a common denominator

Mathematics

1 answer:

a_sh-v [17]3 years ago

3 0

Answer: 1/4 = 3/12 , 1/6 = 2/12

Step-by-step explanation:

<em>To find equivalent fractions with a common denominator, we have to calculate the least common multiple of the denominators which is called the Least Common Denominator (</em><em>LCD</em><em>). </em>

<em>First we have to list the prime factors of each denominator:</em>

4: 2 x 2

6: 2 x 3

<em>Then we have to multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, we multiply the factor the greatest number of times it occurs. </em>

2: two occurrences

3: one occurrence

LCM(4,6) = 2 x 2 x 3 = 12 ◄LCD

<em>Now we can find equivalent fractions with this LCD .</em>

<em>For each fraction, we have to determine the number needed to multiply the denominator to get the LCD. Then have to multiply both the numerator and denominator by that number: </em>

LCD/4 = 12/4 = 3

1/4 = 3x1/3x4 = 3/12

LCD/6 = 12/6 = 2

1/6 = 2x1/2x6 = 2/12

Answer: 1/4 = 3/12 , 1/6 = 2/12

<h2><em>Spymore</em></h2>

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4 years ago

Read 2 more answers

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ruslelena [56]

When a perpendicular is dropped from the right-angle (C) to the opposite side AB, the metric relations apply:
BD*BA=a^2 ..........................(1)
AD*AB=b^2...........................(2)
BD*DA=DC^2........................(3)

Given AD=6, AB=24, using metric relation (2) above, we have
b^2=6*24=144
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b=sqrt(144)=12

By the way, we conclude that this is a 30-60-90 triangle because b/AB=(1/2)=sin(B) => B=30 degrees.

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3 years ago

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Colt1911 [192]

3) Mathematical expression would be:
412 - 65 + 0.50x
Where, x = Number of Texts sent

4) Product means result after multiplication, sum after addition, quotient is the result of division with remainder, and difference is how far two numbers are in their magnitude.
"Per" tells us the magnitude for an Unit value.

5) Associative property = (a+b) + c = a+ (b+c)
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Distributive Property = a(b+c) = ab+bc

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andriy [413]

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