17/154 multiplied by 154/4 in Fraction Form

The result of 17/154 multiplied by 154/4 is: 4 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 17154 and 1544.

Step 2: Multiply the Numerators

Multiply the numerators: 17 × 154 = 2618

Step 3: Multiply the Denominators

Multiply the denominators: 154 × 4 = 616

Step 4: Simplify the Fraction

We can simplify 2618616 to its lowest form.
The greatest common divisor (GCD) of 2618 and 616 is 154.
Dividing both numerator and denominator by the GCD, we get 174.

Step 5: Convert to Mixed Number

The fraction 174 can be written as the mixed number 414.

Final Answer

The result of 17/154 multiplied by 154/4 is:

17154×1544=414

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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