213/64 multiplied by 4/3 in Fraction Form

The result of 213/64 multiplied by 4/3 is: 4 7/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 21364 and 43.

Step 2: Multiply the Numerators

Multiply the numerators: 213 × 4 = 852

Step 3: Multiply the Denominators

Multiply the denominators: 64 × 3 = 192

Step 4: Simplify the Fraction

We can simplify 852192 to its lowest form.
The greatest common divisor (GCD) of 852 and 192 is 12.
Dividing both numerator and denominator by the GCD, we get 7116.

Step 5: Convert to Mixed Number

The fraction 7116 can be written as the mixed number 4716.

Final Answer

The result of 213/64 multiplied by 4/3 is:

21364×43=4716

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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