70/57 added to 164/3 in Fraction Form

The result of 70/57 added to 164/3 is: 55 17/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7057 and 1643.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 3 is 57.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7057 to 7057
Convert 1643 to 311657

Step 4: Add the Numerators

Add the numerators: 70 + 3116 = 3186

Step 5: Simplify the Fraction

We can simplify 318657 to its lowest form.
The greatest common divisor (GCD) of 3186 and 57 is 3.
Dividing both numerator and denominator by the GCD, we get 106219.

Step 6: Convert to Mixed Number

The fraction 106219 can be written as the mixed number 551719.

Final Answer

The result of 70/57 added to 164/3 is:

7057+1643=551719

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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