4/213 added to 70/3 in Fraction Form

The result of 4/213 added to 70/3 is: 23 25/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4213 and 703.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 3 is 213.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4213 to 4213
Convert 703 to 4970213

Step 4: Add the Numerators

Add the numerators: 4 + 4970 = 4974

Step 5: Simplify the Fraction

We can simplify 4974213 to its lowest form.
The greatest common divisor (GCD) of 4974 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 165871.

Step 6: Convert to Mixed Number

The fraction 165871 can be written as the mixed number 232571.

Final Answer

The result of 4/213 added to 70/3 is:

4213+703=232571

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

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