71/213 added to 57/4 in Fraction Form

The result of 71/213 added to 57/4 is: 14 7/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{7}{1} 213$ and $\frac{5}{7} 4$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{7}{1} 213$ to $\frac{284}{8} 52$
Convert $\frac{5}{7} 4$ to $\frac{12141}{8} 52$

Step 4: Add the Numerators

Add the numerators: 284 + 12141 = 12425

Step 5: Simplify the Fraction

We can simplify $\frac{1}{2} 425852$ to its lowest form.
The greatest common divisor (GCD) of 12425 and 852 is 71.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{7} 512$ .

Step 6: Convert to Mixed Number

The fraction $\frac{1}{7} 512$ can be written as the mixed number $14 \frac{7}{1} 2$ .

Final Answer

The result of 71/213 added to 57/4 is:

\frac{71}{213} + \frac{57}{4} = 14 \frac{7}{1} 2

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

$\frac{a}{b} + \frac{c}{d} = \frac{a d + b c}{b d}$ (when denominators are different)

Or simply $\frac{a}{b} + \frac{c}{b} = \frac{a + c}{b}$ (when denominators are the same)

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: