For repeating decimals enter how many decimal places in your. Step 3: Place the repeating digits to the left of the decimal point by multiplying the equation obtained in step 2 by a power of 10 equal to the number of repeating digits. Step 2: Equate the decimal number with x or any other variable.
For instance, lets say you wanted to convert the following to a fraction: 0.321 0708. This calculator converts a decimal number to a fraction or a decimal number to a mixed number. Step 1: Identify the repeating digits in the given decimal number.
by $125$ ($5\times5\times5$) and we can thus see that the decimal form is $0.375.$ Step 1: Separate the non-repeating part of the decimal from the repeating part. (Thomas means that the prime factorisation of $8 = 2\times2\times2$ contains $3$ $2$s and $0$ $5$s)īringing that ratio back to $3:3$ ($2\times2\times2\times5\times5\times5$) gives us a power of $10$ in the denominator (namely, $1000$). Thomas used these ideas to describe how the terminating decimal can be found:Įxample: fraction can be simplified down to $\frac38$, the denominator has a $2$-to-$5$ factor ratio of $3:0$ Originally, we thought that $\frac$ for some new integers $j', y, z.$ Clearly, this form shows that the denominator consists purely of $2$s and $5$s. $\frac 23$ - this is really easy as it is commonly known that this is equivalent to $0.6\dot6$ reoccurring. This is Jayden and Kiefer's work:įirst, we predicted which fractions would have a terminating decimals, this was quite easy as we could use process of elimination. The year 7 mentoring group from Bangkok Patana School in Thailand, Ruby from Loughborough High School and Jayden and Kiefer from Leys Junior School, both in England, worked out which of the fractions in the example are equivalent to terminating decimals.
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