70/176 added to 8/3 in Fraction Form

The result of 70/176 added to 8/3 is: 3 17/264

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 70176 and 83.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 176 and 3 is 528.

Step 3: Convert Fractions to Equivalent Fractions

Convert 70176 to 210528
Convert 83 to 1408528

Step 4: Add the Numerators

Add the numerators: 210 + 1408 = 1618

Step 5: Simplify the Fraction

We can simplify 1618528 to its lowest form.
The greatest common divisor (GCD) of 1618 and 528 is 2.
Dividing both numerator and denominator by the GCD, we get 809264.

Step 6: Convert to Mixed Number

The fraction 809264 can be written as the mixed number 317264.

Final Answer

The result of 70/176 added to 8/3 is:

70176+83=317264

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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