What is 5 divided by \(\frac { 5} { 6} \)?

Step 1: 
Rewrite the division as multiplication by the reciprocal: 
\[5 \div \frac { 5} { 6} = 5 \times \frac { 6} { 5} \]

Step 2: 
Multiply the fractions: 
\[5 \times \frac { 6} { 5} = \frac { 5 \times 6} { 5} = 6\]

Supplemental Knowledge:

Dividing by a fraction involves multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping its numerator and denominator. Here's a step-by-step approach to dividing a number by a fraction:

1. Identify the Reciprocal: 
For the fraction \(\frac { 5} { 6} \), its reciprocal is \(\frac { 6} { 5} \).

2. Multiply: 
Instead of dividing by \(\frac { 5} { 6} \), multiply by \(\frac { 6} { 5} \).

Applied Knowledge:

Understanding fraction division can prove essential in many real-life circumstances.

Imagine baking cookies from scratch using a recipe requiring 2 cups of sugar but you only want to bake half the batch - when this happens you must divide all the ingredients by 2, including sugar itself. Knowing how to divide by fractions ensures your cookies turn out beautifully!

Mastering arithmetic operations with fractions can significantly improve your problem-solving skills in both academic and everyday contexts. At UpStudy, we provide tools and resources designed to help you excel in mathematics and beyond.

For those looking for more practice with arithmetic or seeking assistance with other mathematical concepts, try UpStudy’s Fractions Calculator today! Enhance your math skills with UpStudy!