12/126 to reduced simplest form
2 answers:
First, we can start off by finding the greatest common factor (GCF) of the numerator and the denominator. To do this, we list the factors of each two numbers till we find the common factor that is the greatest.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Looking at the listed factors of the two numbers, which numbers are the common ones? The common factors are 1, 2, 3, and 6. We are looking for the GREATEST common factor, so out of those four numbers, which is the greatest? It is 6, so the GCF is 6.
Second, we can now divide the numerator and the denominator by the GCF (6).
Third, now we can revise our fraction in the simplified form, which we got from dividing above.
Fraction form:
Decimal form:
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Answer:
( 4, 9 ) is our solution in an ordered pair, as you could also say x = 4, and y = 9
Step-by-step explanation:
So we have the following system of equations at hand ( given directly below ), and want to make it such that each equation is multiplied by a value that makes a common variable, say x, have opposite values of coefficients such that they cancel each other out when the two equations are added, enabling you to solve for the value of the other variable, in this case variable y.
- Multiply this top equation by -5, so the coefficient of variable x becomes - 5, opposite to the respective x coefficient in the second equation.
- Adding the two equations we receive the simplified equation 21y = 189. y = 189 / 21 = 9. If y = 9, x should = - 23 + 3y = - 23 + 3
9 = 4. To get this value of x simply isolate the value of x in the first equation given to us, and substitute the known value of y. We have our solution in the form ( 4, 9 ), where x = 4 and y = 9.