26/70 added to 218/4 in Fraction Form

The result of 26/70 added to 218/4 is: 54 61/70

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2670 and 2184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 4 is 140.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2670 to 52140
Convert 2184 to 7630140

Step 4: Add the Numerators

Add the numerators: 52 + 7630 = 7682

Step 5: Simplify the Fraction

We can simplify 7682140 to its lowest form.
The greatest common divisor (GCD) of 7682 and 140 is 2.
Dividing both numerator and denominator by the GCD, we get 384170.

Step 6: Convert to Mixed Number

The fraction 384170 can be written as the mixed number 546170.

Final Answer

The result of 26/70 added to 218/4 is:

2670+2184=546170

Understanding Fraction Addition

How to Add Fractions

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

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (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: