177/86 added to 70/4 in Fraction Form

The result of 177/86 added to 70/4 is: 19 24/43

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17786 and 704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 86 and 4 is 172.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17786 to 354172
Convert 704 to 3010172

Step 4: Add the Numerators

Add the numerators: 354 + 3010 = 3364

Step 5: Simplify the Fraction

We can simplify 3364172 to its lowest form.
The greatest common divisor (GCD) of 3364 and 172 is 4.
Dividing both numerator and denominator by the GCD, we get 84143.

Step 6: Convert to Mixed Number

The fraction 84143 can be written as the mixed number 192443.

Final Answer

The result of 177/86 added to 70/4 is:

17786+704=192443

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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