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What is 5/6 as a decimal?

The fraction 5/65/6 converted into a decimal form yields approximately 0.83330.8333.

To transform the fraction 5/65/6 into a decimal, it is necessary to divide the numerator (which is 55) by the denominator (which is 66). The result of this division operation, 55 divided by 66, is 0.83330.8333\ldots, where the digit 33 recurs indefinitely. This recurring decimal is often represented as 0.83330.8333\ldots or 0.833ˉ0.83\bar{3}, with the bar above the 33 signifying its repetitiveness.

Mastering the technique of converting fractions into decimals is a valuable skill in GCSE Mathematics. It assists in a variety of areas such as comparing the magnitudes of different fractions, executing arithmetic operations, and resolving real-world mathematical problems. When dividing 55 by 66, you can utilize the method of long division to observe the recurring nature of the decimal. Begin by determining how many times 66 fits into 55, which is 00 times. Subsequently, append a decimal point and a zero, converting it to 5050. The number 66 fits into 5050 eight times (based on the multiplication 6×8=486 \times 8 = 48), leaving a remainder of 22. Introduce another zero, making it 2020. The number 66 fits into 2020 three times (based on the multiplication 6×3=186 \times 3 = 18), leaving a remainder of 22 once again. This procedure repeats, illustrating that the decimal is 0.83330.8333\ldots

Armed with this knowledge, you can confidently convert fractions into decimals, comprehending their recurring nature, which is an integral aspect of mastering GCSE Mathematics.

Answered by: Dr. Angela Davis
GCSE Maths Tutor
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