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# write the fraction in simplest form 36\48

write the fraction in simplest form 36\48

### 3 Answers by Expert Tutors

Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (7 lesson ratings) (7)
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Hi Jessica;
The procedure for simplifying fractions is as follows:
Write each term of the fraction as a product of prime factors; in other words write the prime factorization of both terms. Now cross out, circle, or eliminate all common prime factors in the numerator and the denominator. The factors that are left make up the answer to the problem.

36     2x2x3x3           2x2x3x3         3
--- = -------------- =  -----------  =  ---

48     2X2X2X2X3      2x2x3x2x2      4

Here's another example:  120/210=(2x2x2x3x5)/(2x3x5x7)=(2X3X5x2x2)/(2x3x5x7)=(2x2)/7=4/7
When you write the prime factorizations, make a factor tree or use upside-down division.
Shelly J. | Excellent Maths Tutoring for academic successExcellent Maths Tutoring for academic su...
5.0 5.0 (256 lesson ratings) (256)
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Hi Jessica,

36/48=18/24=9/12=3/4

The simplest form of 36/48=3/4
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Hi Jessica;
36/48
Both these numbers are divisible by 12...
(12)(3)=36
(12)(4)=48
3/4