Converting 1.1415 to a Fraction
Step-by-step explanation of how to convert 1.1415 to a fraction

Result

1.1415 =
2283
2000
Mixed number:
1
283
2000

Step 1: Identify the number of decimal places

The decimal 1.1415 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.1415 × 10000 = 11415

Step 3: Write as a fraction

1.1415 =

11415
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11415 and 10000.

GCD(11415, 10000) = 5

Divide both the numerator and denominator by the GCD:

11415
10000

=

11415 ÷ 5
10000 ÷ 5

=

2283
2000
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