69/53 added to 156/4 in Fraction Form

The result of 69/53 added to 156/4 is: 40 16/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{6}{9} 53$ and $\frac{1}{5} 64$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 4 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{6}{9} 53$ to $\frac{276}{2} 12$
Convert $\frac{1}{5} 64$ to $\frac{8268}{2} 12$

Step 4: Add the Numerators

Add the numerators: 276 + 8268 = 8544

Step 5: Simplify the Fraction

We can simplify $\frac{8}{5} 44212$ to its lowest form.
The greatest common divisor (GCD) of 8544 and 212 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{1} 3653$ .

Step 6: Convert to Mixed Number

The fraction $\frac{2}{1} 3653$ can be written as the mixed number $40 \frac{1}{6} 53$ .

Final Answer

The result of 69/53 added to 156/4 is:

\frac{69}{53} + \frac{156}{4} = 40 \frac{1}{6} 53

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: