135/26 multiplied by 164/4 in Fraction Form

The result of 135/26 multiplied by 164/4 is: 212 23/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 13526 and 1644.

Step 2: Multiply the Numerators

Multiply the numerators: 135 × 164 = 22140

Step 3: Multiply the Denominators

Multiply the denominators: 26 × 4 = 104

Step 4: Simplify the Fraction

We can simplify 22140104 to its lowest form.
The greatest common divisor (GCD) of 22140 and 104 is 4.
Dividing both numerator and denominator by the GCD, we get 553526.

Step 5: Convert to Mixed Number

The fraction 553526 can be written as the mixed number 2122326.

Final Answer

The result of 135/26 multiplied by 164/4 is:

13526×1644=2122326

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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