20/102 divided by 185/4 in Fraction Form

The result of 20/102 divided by 185/4 is: 8/1887

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction 20102 by 1854.

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
20102÷1854=20102×4185

Step 3: Multiply the Fractions

Multiply the numerators: 20 × 4 = 80
Multiply the denominators: 102 × 185 = 18870

Step 4: Simplify the Fraction

We can simplify 8018870 to its lowest form.
The greatest common divisor (GCD) of 80 and 18870 is 10.
Dividing both numerator and denominator by the GCD, we get 81887.

Final Answer

The result of 20/102 divided by 185/4 is:

20102÷1854=81887

Understanding Fraction Division

How to Divide Fractions

To divide fractions, you multiply by the reciprocal of the divisor:

ab÷cd=ab×dc=adbc

This technique is often remembered as "keep, change, flip" - keep the first fraction, change division to multiplication, and flip the second fraction.

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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