177/70 added to 27/2 in Fraction Form

The result of 177/70 added to 27/2 is: 16 1/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17770 and 272.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 2 is 70.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17770 to 17770
Convert 272 to 94570

Step 4: Add the Numerators

Add the numerators: 177 + 945 = 1122

Step 5: Simplify the Fraction

We can simplify 112270 to its lowest form.
The greatest common divisor (GCD) of 1122 and 70 is 2.
Dividing both numerator and denominator by the GCD, we get 56135.

Step 6: Convert to Mixed Number

The fraction 56135 can be written as the mixed number 16135.

Final Answer

The result of 177/70 added to 27/2 is:

17770+272=16135

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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