38/69 multiplied by 213/4 in Fraction Form

The result of 38/69 multiplied by 213/4 is: 29 15/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3869 and 2134.

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 213 = 8094

Step 3: Multiply the Denominators

Multiply the denominators: 69 × 4 = 276

Step 4: Simplify the Fraction

We can simplify 8094276 to its lowest form.
The greatest common divisor (GCD) of 8094 and 276 is 6.
Dividing both numerator and denominator by the GCD, we get 134946.

Step 5: Convert to Mixed Number

The fraction 134946 can be written as the mixed number 291546.

Final Answer

The result of 38/69 multiplied by 213/4 is:

3869×2134=291546

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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