70/53 added to 42/2 in Fraction Form

The result of 70/53 added to 42/2 is: 22 17/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7053 and 422.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 2 is 106.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7053 to 140106
Convert 422 to 2226106

Step 4: Add the Numerators

Add the numerators: 140 + 2226 = 2366

Step 5: Simplify the Fraction

We can simplify 2366106 to its lowest form.
The greatest common divisor (GCD) of 2366 and 106 is 2.
Dividing both numerator and denominator by the GCD, we get 118353.

Step 6: Convert to Mixed Number

The fraction 118353 can be written as the mixed number 221753.

Final Answer

The result of 70/53 added to 42/2 is:

7053+422=221753

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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