What is 1.235 repeating as a fraction

1 answer:

7 0

1.235 Repeating Decimal = 1235/999 as a Fraction

Step-by-Step Solution

1.235 equals 1234/999
as an improper fraction or 1 and 235/999
as a mixed number.
How do you turn 1.235 repeating into a fraction?
Detailed Answer:
Step 1: To convert 1.235 repeating into a fraction, begin writing this simple equation:
n = 1.235 (equation 1)
Step 2: Notice that there are 3 digitss in the repeating block (235), so multiply both sides by 1 followed by 3 zeros, i.e., by 1000.
1000 × n = 1235.235 (equation 2)
Step 3: Now subtract equation 1 from equation 2 to cancel the repeating block (or repetend) out.
1000 × n = 1235.235
1 × n = 1.235/999 x n = 1234
n = 1234/999 (answer)

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