21/14 multiplied by 15/4 in Fraction Form

The result of 21/14 multiplied by 15/4 is: 5 5/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2114 and 154.

Step 2: Multiply the Numerators

Multiply the numerators: 21 × 15 = 315

Step 3: Multiply the Denominators

Multiply the denominators: 14 × 4 = 56

Step 4: Simplify the Fraction

We can simplify 31556 to its lowest form.
The greatest common divisor (GCD) of 315 and 56 is 7.
Dividing both numerator and denominator by the GCD, we get 458.

Step 5: Convert to Mixed Number

The fraction 458 can be written as the mixed number 558.

Final Answer

The result of 21/14 multiplied by 15/4 is:

2114×154=558

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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