59/140 added to 1/4 in Fraction Form

The result of 59/140 added to 1/4 is: 47/70

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 59140 and 14.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 140 and 4 is 140.

Step 3: Convert Fractions to Equivalent Fractions

Convert 59140 to 59140
Convert 14 to 35140

Step 4: Add the Numerators

Add the numerators: 59 + 35 = 94

Step 5: Simplify the Fraction

We can simplify 94140 to its lowest form.
The greatest common divisor (GCD) of 94 and 140 is 2.
Dividing both numerator and denominator by the GCD, we get 4770.

Final Answer

The result of 59/140 added to 1/4 is:

59140+14=4770

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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