See how a circle divided into 7 equal parts reveals the pattern behind 1/7. A beautiful visual representation of fraction-to-decimal conversion.
When you divide a circle into 7 equal parts and trace the rotation, you see why 1/7 creates a 6-digit repeating pattern:
1/7 = 0.142857142857...
2/7 = 0.2857142...
3/7 = 0.28571428...
4/7 = 0.571428571...
5/7 = 0.714285714...
6/7 = 0.85714285...
See step-by-step division for 1/7 and other fractions!
Try Fraction Calculator →The circle is divided into 7 equal sections. As you rotate around the circle, you can see how each fraction (1/7, 2/7, 3/7...) maps to its decimal representation.
When dividing 1 by 7, you get a remainder each time. Since there are only 6 possible non-zero remainders (1-6), the pattern must repeat after 6 digits.
Absolutely! This visual is perfect for teaching fractions and decimals. Try having students draw their own circles and fill in the pattern!