31/70 added to 71/6 in Fraction Form

The result of 31/70 added to 71/6 is: 12 29/105

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3170 and 716.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 6 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3170 to 93210
Convert 716 to 2485210

Step 4: Add the Numerators

Add the numerators: 93 + 2485 = 2578

Step 5: Simplify the Fraction

We can simplify 2578210 to its lowest form.
The greatest common divisor (GCD) of 2578 and 210 is 2.
Dividing both numerator and denominator by the GCD, we get 1289105.

Step 6: Convert to Mixed Number

The fraction 1289105 can be written as the mixed number 1229105.

Final Answer

The result of 31/70 added to 71/6 is:

3170+716=1229105

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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