213/26 multiplied by 78/4 in Fraction Form

The result of 213/26 multiplied by 78/4 is: 159 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{1} 326$ and $\frac{7}{8} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 213 × 78 = 16614

Step 3: Multiply the Denominators

Multiply the denominators: 26 × 4 = 104

Step 4: Simplify the Fraction

We can simplify $\frac{1}{6} 614104$ to its lowest form.
The greatest common divisor (GCD) of 16614 and 104 is 26.
Dividing both numerator and denominator by the GCD, we get $\frac{6}{3} 94$ .

Step 5: Convert to Mixed Number

The fraction $\frac{6}{3} 94$ can be written as the mixed number $159 \frac{3}{4}$ .

Final Answer

The result of 213/26 multiplied by 78/4 is:

\frac{213}{26} \times \frac{78}{4} = 159 \frac{3}{4}

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: