19/70 added to 143/6 in Fraction Form

The result of 19/70 added to 143/6 is: 24 11/105

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1970 and 1436.

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 1970 to 57210
Convert 1436 to 5005210

Step 4: Add the Numerators

Add the numerators: 57 + 5005 = 5062

Step 5: Simplify the Fraction

We can simplify 5062210 to its lowest form.
The greatest common divisor (GCD) of 5062 and 210 is 2.
Dividing both numerator and denominator by the GCD, we get 2531105.

Step 6: Convert to Mixed Number

The fraction 2531105 can be written as the mixed number 2411105.

Final Answer

The result of 19/70 added to 143/6 is:

1970+1436=2411105

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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