5/70 added to 55/4 in Fraction Form

The result of 5/70 added to 55/4 is: 13 23/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 570 and 554.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 4 is 140.

Step 3: Convert Fractions to Equivalent Fractions

Convert 570 to 10140
Convert 554 to 1925140

Step 4: Add the Numerators

Add the numerators: 10 + 1925 = 1935

Step 5: Simplify the Fraction

We can simplify 1935140 to its lowest form.
The greatest common divisor (GCD) of 1935 and 140 is 5.
Dividing both numerator and denominator by the GCD, we get 38728.

Step 6: Convert to Mixed Number

The fraction 38728 can be written as the mixed number 132328.

Final Answer

The result of 5/70 added to 55/4 is:

570+554=132328

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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