38/315 added to 5/3 in Fraction Form

The result of 38/315 added to 5/3 is: 1 248/315

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac38315\) and \(\frac53\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 315 and 3 is 315.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac38315\) to \(\frac{38}315\)
Convert \(\frac53\) to \(\frac{525}315\)

Step 4: Add the Numerators

Add the numerators: 38 + 525 = 563

Step 5: Convert to Mixed Number

The fraction \(\frac563315\) can be written as the mixed number \(1\frac248315\).

Final Answer

The result of 38/315 added to 5/3 is:

\[ \frac{38}{315} + \frac{5}{3} = 1\frac248315 \]

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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