70/78 added to 184/4 in Fraction Form

The result of 70/78 added to 184/4 is: 46 35/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7078 and 1844.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 78 and 4 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7078 to 140156
Convert 1844 to 7176156

Step 4: Add the Numerators

Add the numerators: 140 + 7176 = 7316

Step 5: Simplify the Fraction

We can simplify 7316156 to its lowest form.
The greatest common divisor (GCD) of 7316 and 156 is 4.
Dividing both numerator and denominator by the GCD, we get 182939.

Step 6: Convert to Mixed Number

The fraction 182939 can be written as the mixed number 463539.

Final Answer

The result of 70/78 added to 184/4 is:

7078+1844=463539

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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