77/213 multiplied by 30/4 in Fraction Form

The result of 77/213 multiplied by 30/4 is: 2 101/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 77213 and 304.

Step 2: Multiply the Numerators

Multiply the numerators: 77 × 30 = 2310

Step 3: Multiply the Denominators

Multiply the denominators: 213 × 4 = 852

Step 4: Simplify the Fraction

We can simplify 2310852 to its lowest form.
The greatest common divisor (GCD) of 2310 and 852 is 6.
Dividing both numerator and denominator by the GCD, we get 385142.

Step 5: Convert to Mixed Number

The fraction 385142 can be written as the mixed number 2101142.

Final Answer

The result of 77/213 multiplied by 30/4 is:

77213×304=2101142

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).

Fraction Calculator

Calculate operations between any two fractions: