Converting 1.3784 to a Fraction
Step-by-step explanation of how to convert 1.3784 to a fraction

Result

1.3784 =
1723
1250
Mixed number:
1
473
1250

Step 1: Identify the number of decimal places

The decimal 1.3784 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.3784 × 10000 = 13784

Step 3: Write as a fraction

1.3784 =

13784
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13784 and 10000.

GCD(13784, 10000) = 8

Divide both the numerator and denominator by the GCD:

13784
10000

=

13784 ÷ 8
10000 ÷ 8

=

1723
1250
Related Conversions
Other decimal to fraction conversions you might find useful