3/5 subtracted by 42/3 in Fraction Form

The result of 3/5 subtracted by 42/3 is: -14 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{4}{2} 3$ from $\frac{3}{5}$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 5 and 3 is 15.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{5}$ to $\frac{9}{1} 5$
Convert $\frac{4}{2} 3$ to $\frac{210}{1} 5$

Step 4: Subtract the Numerators

Subtract the numerators: 9 - 210 = -201

Step 5: Simplify the Fraction

We can simplify $\frac{-}{2} 0115$ to its lowest form.
The greatest common divisor (GCD) of -201 and 15 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{6} 75$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{6} 75$ can be written as the mixed number $- 14 \frac{3}{5}$ .

Final Answer

The result of 3/5 subtracted by 42/3 is:

\frac{3}{5} - \frac{42}{3} = - 14 \frac{3}{5}

Understanding Fraction Subtraction

How to Subtract Fractions

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

$\frac{a}{b} - \frac{c}{d} = \frac{a d - b c}{b d}$ (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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