The fraction 5/6 converted into a decimal form yields approximately 0.8333.
To transform the fraction 5/6 into a decimal, it is necessary to divide the numerator (which is 5) by the denominator (which is 6). The result of this division operation, 5 divided by 6, is 0.8333…, where the digit 3 recurs indefinitely. This recurring decimal is often represented as 0.8333… or 0.833ˉ, with the bar above the 3 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 5 by 6, you can utilize the method of long division to observe the recurring nature of the decimal. Begin by determining how many times 6 fits into 5, which is 0 times. Subsequently, append a decimal point and a zero, converting it to 50. The number 6 fits into 50 eight times (based on the multiplication 6×8=48), leaving a remainder of 2. Introduce another zero, making it 20. The number 6 fits into 20 three times (based on the multiplication 6×3=18), leaving a remainder of 2 once again. This procedure repeats, illustrating that the decimal is 0.8333…
Armed with this knowledge, you can confidently convert fractions into decimals, comprehending their recurring nature, which is an integral aspect of mastering GCSE Mathematics.
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Professional Tutors |
All of our elite tutors are full-time professionals, with at least five years of tuition experience and over 5000 accrued teaching hours in their subject. |
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International Tuition |
Based in Cambridge, with operations spanning the globe, we can provide our services to support your family anywhere. |
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Independent School Entrance Success |
Our families consistently gain offers from at least one of their target schools, including Eton, Harrow, Wellington and Wycombe Abbey. |
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