A fraction represents a part of a whole, written as a numerator (selected parts) over a denominator (total equal parts).

How does circle slice fraction model work?

The denominator divides the circle into equal pie slices, and the numerator colors the active/selected slices.

Fractions Circle Slices Visualizer - Math Interactive

3/8

Simplified Fraction 3 / 8

Decimal Equivalent 0.375

Percentage 37.5%

Variable Adjuster

Numerator (a) - Selected parts3

120

Denominator (b) - Total parts8

120

Fractions & Decimals Visualizer

FRAC

A fraction represents a part of a whole. The numerator indicates the number of selected parts, while the denominator indicates the total number of equal parts. Decimals and percentages represent this same ratio as a value out of 1 or 100 respectively.

\text{Fraction} = \frac{\text{Numerator}}{\text{Denominator}} = \text{Decimal} = \text{Percentage} \div 100

Whiteboard Solver Steps

Step 1

Represent Fraction

We start with the raw fraction representing 3 parts out of 8 total equal parts.

\frac{a}{b} = \frac{3}{8}

Step 2

Check Simplification

Since the greatest common divisor of 3 and 8 is 1, the fraction is already in its simplest form.

\text{GCD}(3, 8) = 1

Step 3

Convert to Decimal

Divide the numerator by the denominator to get the decimal equivalent. This represents the continuous proportion.

\frac{3}{8} = 3 \div 8 = 0.375

Step 4

Convert to Percentage

Multiply the decimal value by 100 to find the equivalent percentage.

0.375 \times 100\% = 37.5\%

RV Anveshana