38/57 added to 140/2 in Fraction Form

The result of 38/57 added to 140/2 is: 70 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3857 and 1402.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 2 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3857 to 76114
Convert 1402 to 7980114

Step 4: Add the Numerators

Add the numerators: 76 + 7980 = 8056

Step 5: Simplify the Fraction

We can simplify 8056114 to its lowest form.
The greatest common divisor (GCD) of 8056 and 114 is 38.
Dividing both numerator and denominator by the GCD, we get 2123.

Step 6: Convert to Mixed Number

The fraction 2123 can be written as the mixed number 7023.

Final Answer

The result of 38/57 added to 140/2 is:

3857+1402=7023

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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