64/74 added to 6/4 in Fraction Form

The result of 64/74 added to 6/4 is: 2 27/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6474 and 64.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 4 is 148.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6474 to 128148
Convert 64 to 222148

Step 4: Add the Numerators

Add the numerators: 128 + 222 = 350

Step 5: Simplify the Fraction

We can simplify 350148 to its lowest form.
The greatest common divisor (GCD) of 350 and 148 is 2.
Dividing both numerator and denominator by the GCD, we get 17574.

Step 6: Convert to Mixed Number

The fraction 17574 can be written as the mixed number 22774.

Final Answer

The result of 64/74 added to 6/4 is:

6474+64=22774

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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