How do you solve #\frac { 7} { 5} = \frac { 9} { v }#?

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Answer 1 · 2018-03-07T00:13:03

Multiply to remove the denominators and divide to solve for v

# 7/5 = 9/v # To solve this ratio proportion multiply by 5v

# (7 xx 5 xxv)/5 = (9 xx 5 xx v)/v# Dividing out common factors

# 7 xx v = 9 xx 5# Divide both sides by 7

# 7 xx v/7 = 9 xx 5/7 # This isolates v

# v = 45/7 # Dividing by 7 changes the fraction to a mixed number

# y = 6 3/7

In solving for a ratio multiply to remove the denominators and divide to isolate the variable.