248/151 added to 26/3 in Fraction Form

The result of 248/151 added to 26/3 is: 10 140/453

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac248151\) and \(\frac263\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 3 is 453.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac248151\) to \(\frac{744}453\)
Convert \(\frac263\) to \(\frac{3926}453\)

Step 4: Add the Numerators

Add the numerators: 744 + 3926 = 4670

Step 5: Convert to Mixed Number

The fraction \(\frac4670453\) can be written as the mixed number \(10\frac140453\).

Final Answer

The result of 248/151 added to 26/3 is:

\[ \frac{248}{151} + \frac{26}{3} = 10\frac140453 \]

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (when denominators are different)

Or simply \( \frac{a}{b} + \frac{c}{b} = \frac{a + c}{b} \) (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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