40/140 added to 3/4 in Fraction Form

The result of 40/140 added to 3/4 is: 1 1/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 40140 and 34.

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 40140 to 40140
Convert 34 to 105140

Step 4: Add the Numerators

Add the numerators: 40 + 105 = 145

Step 5: Simplify the Fraction

We can simplify 145140 to its lowest form.
The greatest common divisor (GCD) of 145 and 140 is 5.
Dividing both numerator and denominator by the GCD, we get 2928.

Step 6: Convert to Mixed Number

The fraction 2928 can be written as the mixed number 1128.

Final Answer

The result of 40/140 added to 3/4 is:

40140+34=1128

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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