Example

Example of Simplifying 315770-\frac{315}{770}

To simplify the negative fraction 315770-\frac{315}{770}, rewrite the numerator and denominator using prime factorizations to reveal common factors: 335725711-\frac{3 \cdot 3 \cdot 5 \cdot 7}{2 \cdot 5 \cdot 7 \cdot 11}. Next, divide out the common factors of 55 and 77 using the Equivalent Fractions Property. Finally, multiply the remaining factors in the numerator (33=93 \cdot 3 = 9) and the denominator (211=222 \cdot 11 = 22) to obtain the simplified fraction 922-\frac{9}{22}.

0

1

Updated 2026-06-25

Tags

OpenStax

Intermediate Algebra @ OpenStax

Ch.1 Foundations - Intermediate Algebra @ OpenStax

Algebra

Related
Learn After