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0.167 (7 repeating) as a fraction. STEP BY STEP!!!

Sagot :

Answer:

1677 Repeating / 1000

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