5/112 subtracted by 102/3 in Fraction Form

The result of 5/112 subtracted by 102/3 is: -34 5/112

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1023\) from \(\frac5112\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 112 and 3 is 336.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac5112\) to \(\frac{15}336\)
Convert \(\frac1023\) to \(\frac{11424}336\)

Step 4: Subtract the Numerators

Subtract the numerators: 15 - 11424 = -11409

Step 5: Simplify the Fraction

We can simplify \(\frac-11409336\) to its lowest form.
The greatest common divisor (GCD) of -11409 and 336 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-3803112\).

Step 6: Convert to Mixed Number

The fraction \(\frac-3803112\) can be written as the mixed number \(-34\frac5112\).

Final Answer

The result of 5/112 subtracted by 102/3 is:

\[ \frac{5}{112} - \frac{102}{3} = -34\frac5112 \]

Understanding Fraction Subtraction

How to Subtract Fractions

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

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \) (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).

Fraction Calculator

Calculate operations between any two fractions: