Question

Every decimal can be written as fraction true or false

Answer 1

Every decimal can be written as a fraction. This statement is False.

Step-by-step explanation:

• To convert a decimal number into a fraction, we write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly. Then, this fraction can be simplified.

For example, 0.75 can be expressed as $\frac{3}{4}$ in the form of a fraction.

• In this case, 0.75 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point.

        ⇒$\frac{75}{100}$ After reducing this fraction we get,

        ⇒$(\frac{75}{25})/(\frac{100}{25} )$$=\frac{3}{4}$

It should be noted that $\frac{3}{4}$ and $\frac{75}{100}$ are equivalent fractions.

The value of $0.75$ as a fraction is $\frac{3}{4}$.

This is the method to convert decimal to fraction. Now come back to our question,

• Every decimal can not be written as a fraction. We all know that some decimals can be written as fractions-the rationals. But there is another class of decimals - the Irrationals. Unlike the Rationals, they can't be represented as fractions.

• For example is π $(pi)$ the circumference of a circle divided by the diameter. Its value is $3.14159.,$  which doesn't match any fraction.

   

Answer 2

Answer:

Every decimal can be written as a fraction. This statement is False.

Step-by-step explanation:

To convert a decimal number into a fraction, we write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly. Then, this fraction can be simplified.