38/185 multiplied by 27/4 in Fraction Form

The result of 38/185 multiplied by 27/4 is: 1 143/370

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 38185 and 274.

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 27 = 1026

Step 3: Multiply the Denominators

Multiply the denominators: 185 × 4 = 740

Step 4: Simplify the Fraction

We can simplify 1026740 to its lowest form.
The greatest common divisor (GCD) of 1026 and 740 is 2.
Dividing both numerator and denominator by the GCD, we get 513370.

Step 5: Convert to Mixed Number

The fraction 513370 can be written as the mixed number 1143370.

Final Answer

The result of 38/185 multiplied by 27/4 is:

38185×274=1143370

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×d

After multiplying, it's always good practice to simplify the fraction to its lowest form.

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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