Reduce 79,537/3,623,420

Name: Eliana

Who is asking: Student
Level: All

Question:
how do you reduce 79,537/3,623,420.

Hi Eliana,

To reduce fractions with large numerators and denominators, it is best to use the euclidian algorithm:

For ^599,071/_6,163,995 you would find the largest common divisor of 599,071 and 6,163,995 by taking successive divisions with remainders as follows:

^6,163,995/_599,071 = 10, remainder 173,285

^599,071/_173,285 = 3, remainder 79,216

^173,285/_79,216 = 2, remainder 14,853

^79,216/_14,853 = 5, remainder 4,951

^14,853/_4,951 = 3, remainder 0 The last remainder is 0, which means that the previous remainder, 4,951, is the largest common divisor of 6,163,395 and 599,071. You divide 599,071 by 4,951 to get 121, and divide 6,163,395 by 4,951 to get 1245. So ^599,071/_6,163,995 = ¹²¹/₁₂₄₅, and this is in lowest terms.

With your fraction of ^79,537/_3,623,420, you get a greatest common divisor of 1, which means that the fraction is already in lowest terms.

Claude Go to Math Central