A distribution manager is simplifying a shipping ratio of 315 packages to 770 shipments using the prime factorization method. Arrange the following steps in the correct order to simplify the fraction ${}-\frac{315}{770}$.

A logistics coordinator is simplifying a warehouse efficiency ratio represented by the fraction ${}-\frac{315}{770}$. According to the prime factorization method used in the company audit guidelines, which of the following correctly shows the numerator and denominator rewritten entirely as products of their prime factors?

A logistics analyst is verifying the simplification of a freight cost ratio of ${}-\frac{315}{770}$ for an internal audit report. Based on the prime factorization method shown in the audit guidelines, match each part of the process with its corresponding value or expression.

A financial analyst is simplifying a debt-to-income ratio of ${}-\frac{315}{770}$ for a client's loan application using the prime factorization method. True or False: After representing the fraction as ${}-\frac{3 \cdot 3 \cdot 5 \cdot 7}{2 \cdot 5 \cdot 7 \cdot 11}$ and dividing out the common prime factors of 5 and 7, the resulting simplified fraction is ${}-\frac{9}{22}$.

Simplifying Logistics Ratios Using Prime Factorization

An operations supervisor is simplifying a freight utilization ratio represented by the fraction ${}-\frac{315}{770}$ for an end-of-month efficiency report. By rewriting the ratio using prime factorization, the supervisor obtains the expression ${}-\frac{3 \cdot 3 \cdot 5 \cdot 7}{2 \cdot 5 \cdot 7 \cdot 11}$. To simplify this fraction using the Equivalent Fractions Property, the supervisor must divide out the common prime factors of 5 and ____.

Simplifying Operational Ratios via Prime Factorization