30/7 added to 24/6 in Fraction Form

The result of 30/7 added to 24/6 is: 8 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 307 and 246.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 6 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 307 to 18042
Convert 246 to 16842

Step 4: Add the Numerators

Add the numerators: 180 + 168 = 348

Step 5: Simplify the Fraction

We can simplify 34842 to its lowest form.
The greatest common divisor (GCD) of 348 and 42 is 6.
Dividing both numerator and denominator by the GCD, we get 587.

Step 6: Convert to Mixed Number

The fraction 587 can be written as the mixed number 827.

Final Answer

The result of 30/7 added to 24/6 is:

307+246=827

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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