30/8 subtracted by 7/3 in Fraction Form

The result of 30/8 subtracted by 7/3 is: 1 5/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{7}{3}$ from $\frac{3}{0} 8$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 8 and 3 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{0} 8$ to $\frac{90}{2} 4$
Convert $\frac{7}{3}$ to $\frac{56}{2} 4$

Step 4: Subtract the Numerators

Subtract the numerators: 90 - 56 = 34

Step 5: Simplify the Fraction

We can simplify $\frac{3}{4} 24$ to its lowest form.
The greatest common divisor (GCD) of 34 and 24 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{7} 12$ .

Step 6: Convert to Mixed Number

The fraction $\frac{1}{7} 12$ can be written as the mixed number $1 \frac{5}{1} 2$ .

Final Answer

The result of 30/8 subtracted by 7/3 is:

\frac{30}{8} - \frac{7}{3} = 1 \frac{5}{1} 2

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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