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Sholpan [36]
3 years ago
8

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

Mathematics
1 answer:
earnstyle [38]3 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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How do I solve 372 = -3x - 6(8x + 6)? I already know that x = -8, but I need to know the process of how to get it.
ziro4ka [17]

The value of x is -8

Step-by-step explanation:

The steps of solving an equation of one variable

  1. Simplify the two sides of the equation
  2. Separate the variable in one side and the numerical term in the other side
  3. Divide the both sides by the coefficient of the variable

∵ 372 = -3x - 6(8x + 6)

- Simplify the R.H.S. of the equation by multiplying the bracket by 6

∵ 372 = -3x - [6(8x) + 6(6)]

- You must put the square bracket because the sign in-front of 6

  is (-) and the (-) changes the signs after it

∴ 372 = -3x - [48x + 36]

- Remember (-)(+) = (-), multiply the square bracket by (-)

∴ 372 = -3x - 48x - 36

- Add the like terms in the R.H.S.

∴ 372 = -51x - 36

- Add 36 to both sides to separate x in the R.H.S.

∴ 408 = -51x

- Divide both sides by -51 (coefficient of x)

∴ -8 = x

I hope these steps help you

The value of x is -8

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

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