31/38 multiplied by 6/4 in Fraction Form

The result of 31/38 multiplied by 6/4 is: 1 17/76

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3138 and 64.

Step 2: Multiply the Numerators

Multiply the numerators: 31 × 6 = 186

Step 3: Multiply the Denominators

Multiply the denominators: 38 × 4 = 152

Step 4: Simplify the Fraction

We can simplify 186152 to its lowest form.
The greatest common divisor (GCD) of 186 and 152 is 2.
Dividing both numerator and denominator by the GCD, we get 9376.

Step 5: Convert to Mixed Number

The fraction 9376 can be written as the mixed number 11776.

Final Answer

The result of 31/38 multiplied by 6/4 is:

3138×64=11776

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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