how do I solve this problem

5/8x-7/12=

how do I solve this problem

5/8x-7/12=

Tutors, sign in to answer this question.

When simplifying fractions, you want to find the greatest common factor (gcf) between the numerator and the denominator, then divide both the numerator and the denominator of the fraction in question by this gcf.

Simplify 60/56 :

Factors of 60 ==> 1, 2, 3, **4**, 5, 6, 10, 12, 15, 20, 30 60

Factors of 56 ==> 1, 2, **4**, 7, 8, 14, 28, 56

We find that the greatest common factor between 60 and 56 is 4. Now we divide both numerator (60) and the denominator (56) by their gcf (4), to simplify the fraction:

60 / 56 = (60/4) / (56/4) = 15 / 14

Thus, the simplification of 60/56 yields the fraction 15/14.

When adding/subtracting fractions with different denominators, you need to change the fractions in a way such that all the fractions share a common denominator. To do this, we first need to find the least common denominator (or, the least common multiple) between the denominators:

(5/8)x - (7/12) ==> the denominators are 8 and 12

Multiples of 8: 8, 16, **24**, 32, 40, 48, 56, 64, ......

Multiples of 12: 12, **24**, 36, 48, 60, 72, 84, 96, ......

We find that the least common multiple of 8 and 12 is 24. So we change each fraction in the problem by multiplying the denominator by a number that will yield a denominator of 24, then multiplying the numerator by that same number so as to not change the value of the fraction. After we have fractions with common denominators, we can add their numerators:

(5/8)x - (7/12) ==> (5x/8) - (7/12)

= (3/3)*(5x/8) - (7/12)*(2/2)

= (3*5x / 3*8) - (7*2 / 12*2)

= (15x/24) - (14/24)

= (15x - 14)/24

Kevin S. |

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Randee S.

Dynamic, versatile tutor for core subject areas K-12

$8.75 per 15 min

View Profile >

Sabrina B.

Tutoring Guru, Ready to Help You!

$12.50 per 15 min

View Profile >

Alexis G.

All-Subject/Test Prep Tutor, Specializing in Language Instruction

$11.25 per 15 min

View Profile >