28/70 added to 212/4 in Fraction Form

The result of 28/70 added to 212/4 is: 53 2/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2870 and 2124.

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 2870 to 56140
Convert 2124 to 7420140

Step 4: Add the Numerators

Add the numerators: 56 + 7420 = 7476

Step 5: Simplify the Fraction

We can simplify 7476140 to its lowest form.
The greatest common divisor (GCD) of 7476 and 140 is 28.
Dividing both numerator and denominator by the GCD, we get 2675.

Step 6: Convert to Mixed Number

The fraction 2675 can be written as the mixed number 5325.

Final Answer

The result of 28/70 added to 212/4 is:

2870+2124=5325

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).

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