Converting 10.465 to a Fraction
Step-by-step explanation of how to convert 10.465 to a fraction

Result

10.465 =
2093
200
Mixed number:
10
93
200

Step 1: Identify the number of decimal places

The decimal 10.465 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.465 × 1000 = 10465

Step 3: Write as a fraction

10.465 =

10465
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10465 and 1000.

GCD(10465, 1000) = 5

Divide both the numerator and denominator by the GCD:

10465
1000

=

10465 ÷ 5
1000 ÷ 5

=

2093
200
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