21/4 multiplied by 14/2 in Fraction Form
The result of 21/4 multiplied by 14/2 is: 36 3/4
Step-by-Step Solution
Step 1: Understand the Problem
We need to multiply the fractions \(\frac214\) and \(\frac142\).
Step 2: Multiply the Numerators
Multiply the numerators: 21 × 14 = 294
Step 3: Multiply the Denominators
Multiply the denominators: 4 × 2 = 8
Step 4: Simplify the Fraction
We can simplify \(\frac2948\) to its lowest form.
The greatest common divisor (GCD) of 294 and 8 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac1474\).
Step 5: Convert to Mixed Number
The fraction \(\frac1474\) can be written as the mixed number \(36\frac34\).
Final Answer
The result of 21/4 multiplied by 14/2 is:
Understanding Fraction Multiplication
How to Multiply Fractions
To multiply fractions, you multiply the numerators together and the denominators together:
\( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \)
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).
Fraction Calculator
Calculate operations between any two fractions: