Write equivalent fractions for 2/7 and 5/12 using the least common denominator

Mathematics

1 answer:

earnstyle [38]4 years ago

6 0

Answer:

24/84 and 35/84

Step-by-step explanation:

<u>Equivalent Fractions </u>

Two fractions are equivalent if they name the same number. 2/5 and 4/10 are equivalent. We can compute fractions who are equivalent to a given fraction if we multiply or divide both numerator and denominator by the same number. In the previous example, 4/10 is equivalent to 2/5 because both parts are twice the first.

We are asked to find equivalent fractions for 2/7 and 5/12 using the least common denominator. We must find the least common number between 7 and 12. Since they are relatively prime numbers, the least common factor is their product, i.e. 7*12=84.

To find the equivalent fraction for 2/7, we multiply by 12 up and down to get 24/84

To find the equivalent fraction for 5/12, we multiply by 7 to get 35/84

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The measure of angle t is 60 degrees. What is the x-coordinate of the point where the terminal side intersects the unit circle?

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Step-by-step explanation:

Please find the attached image of unit circle.

We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.

We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.

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