37/29 multiplied by 16/4 in Fraction Form

The result of 37/29 multiplied by 16/4 is: 5 3/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3729 and 164.

Step 2: Multiply the Numerators

Multiply the numerators: 37 × 16 = 592

Step 3: Multiply the Denominators

Multiply the denominators: 29 × 4 = 116

Step 4: Simplify the Fraction

We can simplify 592116 to its lowest form.
The greatest common divisor (GCD) of 592 and 116 is 4.
Dividing both numerator and denominator by the GCD, we get 14829.

Step 5: Convert to Mixed Number

The fraction 14829 can be written as the mixed number 5329.

Final Answer

The result of 37/29 multiplied by 16/4 is:

3729×164=5329

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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