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Mathysics
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3.741 (41 is recurring)
answer is 1852/495
but ii don't know how to work it out
thanks :)
answer is 1852/495
but ii don't know how to work it out
thanks :)
Mathysics said:3.741 (41 is recurring)
answer is 1852/495
but ii don't know how to work it out
thanks :)
A recurring decimal is a decimal number that has a repeating pattern of digits after the decimal point. For example, 0.3333... is a recurring decimal with the digit 3 repeating infinitely.
To convert a recurring decimal to a fraction, you need to identify the repeating pattern and use a mathematical formula to express it as a fraction. The formula is (r / 9) where r is the repeating pattern. For example, 0.3333... can be expressed as (3 / 9), which simplifies to (1 / 3).
If the recurring pattern is more than one digit, you need to adjust the formula slightly. For example, for the recurring decimal 0.142857142857..., the repeating pattern is 142857. The formula to convert this to a fraction would be (r / 999999) where r is the repeating pattern. In this case, the fraction would simplify to (1 / 7).
Yes, any recurring decimal can be converted to a fraction using the formula mentioned above. However, some fractions may not simplify to whole numbers, and in those cases, the decimal representation would be more convenient to use.
Yes, you can use the shortcut method of placing the repeating pattern over the appropriate number of 9s in the denominator. For example, for the recurring decimal 0.3333..., you can write the fraction as (3 / 9) or simply (3/9). This method works for any recurring decimal with a single-digit repeating pattern.