176/42 added to 82/3 in Fraction Form

The result of 176/42 added to 82/3 is: 31 11/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17642 and 823.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 3 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17642 to 17642
Convert 823 to 114842

Step 4: Add the Numerators

Add the numerators: 176 + 1148 = 1324

Step 5: Simplify the Fraction

We can simplify 132442 to its lowest form.
The greatest common divisor (GCD) of 1324 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get 66221.

Step 6: Convert to Mixed Number

The fraction 66221 can be written as the mixed number 311121.

Final Answer

The result of 176/42 added to 82/3 is:

17642+823=311121

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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