Question

How do you write \[ - 0.87\] as a fraction?

Answer 1

Hint: Given a number is in the form of a decimal number with a negative sign we have to convert it into a fraction. by multiplying by \[10\] for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use \[100\], if there are three then use \[1000\], etc.)

Complete step by step solution:
to convert a Decimal to a Fraction, we have to follow these steps:
Step 1: Write down the decimal divided by \[1\], it is given by:
\[\dfrac{{decimal}}{1}\]
\[ \Rightarrow \]\[\dfrac{{ - 0.87}}{1}\]
Step 2:
In the given problem there are \[2\] digits after the decimal point therefore, multiply both numerator and denominator by \[100\] we get
\[\dfrac{{ - 0.87 \times 100}}{{100}}\]= \[\dfrac{{ - 87}}{{100}}\]
Now, we can note that the numerator is converted to the whole number. Furthermore, the numerator is a prime number so we cannot reduce or simplify.
Therefore, the required fraction is \[\dfrac{{ - 87}}{{100}}\]
So, the correct answer is “\[\dfrac{{ - 87}}{{100}}\]”.

Note: In algebra, a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one. and fractions are the numerical values that are a part of the whole. if a number or a thing is divided into equal parts, then each part will be the fraction of the whole. A fraction is denoted by \[\dfrac{p}{q}\] where \[p\] is called numerator and q is called denominator and \[q \ne 0\].