117/70 added to 39/3 in Fraction Form

The result of 117/70 added to 39/3 is: 14 47/70

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11770 and 393.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 3 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11770 to 351210
Convert 393 to 2730210

Step 4: Add the Numerators

Add the numerators: 351 + 2730 = 3081

Step 5: Simplify the Fraction

We can simplify 3081210 to its lowest form.
The greatest common divisor (GCD) of 3081 and 210 is 3.
Dividing both numerator and denominator by the GCD, we get 102770.

Step 6: Convert to Mixed Number

The fraction 102770 can be written as the mixed number 144770.

Final Answer

The result of 117/70 added to 39/3 is:

11770+393=144770

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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