57/164 added to 69/3 in Fraction Form

The result of 57/164 added to 69/3 is: 23 57/164

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 57164 and 693.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 3 is 492.

Step 3: Convert Fractions to Equivalent Fractions

Convert 57164 to 171492
Convert 693 to 11316492

Step 4: Add the Numerators

Add the numerators: 171 + 11316 = 11487

Step 5: Simplify the Fraction

We can simplify 11487492 to its lowest form.
The greatest common divisor (GCD) of 11487 and 492 is 3.
Dividing both numerator and denominator by the GCD, we get 3829164.

Step 6: Convert to Mixed Number

The fraction 3829164 can be written as the mixed number 2357164.

Final Answer

The result of 57/164 added to 69/3 is:

57164+693=2357164

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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