78/154 added to 70/2 in Fraction Form

The result of 78/154 added to 70/2 is: 35 39/77

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 78154 and 702.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 2 is 154.

Step 3: Convert Fractions to Equivalent Fractions

Convert 78154 to 78154
Convert 702 to 5390154

Step 4: Add the Numerators

Add the numerators: 78 + 5390 = 5468

Step 5: Simplify the Fraction

We can simplify 5468154 to its lowest form.
The greatest common divisor (GCD) of 5468 and 154 is 2.
Dividing both numerator and denominator by the GCD, we get 273477.

Step 6: Convert to Mixed Number

The fraction 273477 can be written as the mixed number 353977.

Final Answer

The result of 78/154 added to 70/2 is:

78154+702=353977

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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