What is 5/6 as a decimal?

5/6 as a decimal is approximately 0.8333.

To convert the fraction 5/6 into a decimal, you need to perform the division of the numerator (5) by the denominator (6). When you divide 5 by 6, you get 0.8333, with the digit 3 repeating indefinitely. This is often written as 0.8333... or 0.83̅3, where the bar over the 3 indicates that it repeats.

Understanding how to convert fractions to decimals is a useful skill in GCSE Maths. It helps in various topics such as comparing sizes of different fractions, performing arithmetic operations, and solving real-world problems. When you divide 5 by 6, you can use long division to see how the decimal repeats. Start by seeing how many times 6 fits into 5, which is 0 times. Then, add a decimal point and a zero, making it 50. Six goes into 50 eight times (6 x 8 = 48), leaving a remainder of 2. Bring down another zero to make it 20. Six goes into 20 three times (6 x 3 = 18), leaving a remainder of 2 again. This process repeats, showing that the decimal is 0.8333...

Knowing this, you can confidently convert fractions to decimals and understand their repeating nature, which is a key part of mastering GCSE Maths.