To find c, you must isolate it. To do this, you must divide both sides by 5/7, since that is being multiplied by c and you must do the inverse to it to cancel it out in order to leave c by itself.
5/7c ÷ 5/7 = c
13/14 ÷ 5/7 To divide fractions, follow these steps: Step 1- Turn the second fraction, 5/7 in this case, into its reciprocal. This means swapping the places of the numerator and denominator. 5/7 reciprocal = 7/5
Step 2- multiply the original first fraction and reciprocal second fraction. 13/14 • 7/5 13 • 7 = 91 14 • 5 = 70 13/14 ÷ 5/7 = 91/70
Step 3- Simplify if possible. 91/70 Since 70 can go into 90, you can turn this into a mixed number. 1 and 21/70 Now simplify 21/70. Both can be divided by 7. 21 ÷ 7 = 3 70 ÷ 7 = 10 So simplified, 91/70 equals 1 and 3/10. As a decimal, this is 1.3.
