Make an equation where x is equal to the decimal:
Equation 1: x = 0.167 ( 7 repeating)
Multiply both sides by 10:
Equation 2: 10x = 1.67 (7 repeating)
Subtract equation 1 from equation 2:
10x = 1.67 - x = 0.167 = 9x = 1.51
Solve for x:
x = 1.51 /9
Eliminate the decimal by multiplying by 100:
x = 151/900
Answer: 151/900
