42/10 added to 146/2 in Fraction Form

The result of 42/10 added to 146/2 is: 77 1/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4210 and 1462.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 2 is 10.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4210 to 4210
Convert 1462 to 73010

Step 4: Add the Numerators

Add the numerators: 42 + 730 = 772

Step 5: Simplify the Fraction

We can simplify 77210 to its lowest form.
The greatest common divisor (GCD) of 772 and 10 is 2.
Dividing both numerator and denominator by the GCD, we get 3865.

Step 6: Convert to Mixed Number

The fraction 3865 can be written as the mixed number 7715.

Final Answer

The result of 42/10 added to 146/2 is:

4210+1462=7715

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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