Question

How do you convert \[\dfrac{3}{8}\] into a decimal?

Answer 1

Hint: In the question, We convert the fraction number into decimal we know that a number in fraction form have numerator and denominator.so firstly find a number you can multiply by the bottom of the fraction like it \[10,\]or \[100,\]or \[1000 \ldots \ldots \]multiply both top and bottom by that number. Then, we write down just the top number putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number).

Complete step-by-step answer:
\[3\] is numerator and \[8\] is denominator. We find that number if we multiply by \[8\], then we get \[100,\] or \[1000\] or ….. any \[1\] followed by 0s. So if \[125\] is multiplied by \[8\] we get \[1000\].
Step2: therefore both numerator and denominator multiply by \[125\] , \[3\] and \[8\] respectively.
So we can write as
\[\dfrac{3}{8} = \dfrac{{3 \times 125}}{{8 \times 125}}\]
If \[3\] multiply by \[125\], we get \[375\] and \[8\] multiply by \[125\] we get \[1000\].
Therefore
\[\dfrac{3}{8} = \dfrac{{3 \times 125}}{{8 \times 125}}\]
 \[ \Rightarrow \dfrac{{375}}{{1000}}\]
That is \[\dfrac{3}{8} = \dfrac{{375}}{{1000}}\]
Step 3: further write down \[375\] with decimal point 3 spaces from the right (because \[1000\] has three zeros).
So we can write \[\dfrac{{375}}{{1000}}\] is decimal \[375\] that is \[\dfrac{{375}}{{1000}}\]\[ = 0.375\]
Therefore \[\dfrac{3}{8}\] can be written as \[0.375\] in decimal.

Note: Decimal a number system in mathematics positional numeral system take \[10\] as a base and requiring \[10\] different numerals the digit \[0\],\[1,{\text{ }}2,{\text{ }}3, \ldots ..{\text{ }},9\]. It is also decimal fraction. The numerals used in denoting a number on the different place value depending upon the position.