Question

What does \[0.16\] equal as a fraction?

Answer 1

Hint: Place the decimal number over its place value to convert a decimal to a fraction. For example, the six in \[0.6\] is in the tenths position, so we multiply \[6\] by \[10\] to get the equivalent fraction \[\dfrac{6}{{10}}\]. Simplify the fraction if necessary.

Complete step by step solution:
A fraction with a power of ten in the denominator (bottom number) (such as 10, 100, 1000, etc). You can write decimal fractions with a decimal point (but no denominator) to make addition and multiplication calculations on fractions easier.
A decimal number is known as a number with a decimal point separating the whole number and fractional parts. A decimal point is the dot in a decimal number. The digits after the decimal point represent a number less than one.
Fractions are numerical quantities that are a fraction of a whole number. When a number or an object is split into equal parts, each part becomes a fraction of the whole. Where an is the numerator and b is the denominator, a fraction is written as \[\dfrac{a}{b}\].
\[
  0.16 = \dfrac{{16}}{{100}} \\
   \Rightarrow 0.16 = \dfrac{4}{{25}} \\
 \]

Note: A fraction is formed by putting two integers in a ratio. A decimal can express the same numerical quantity as a fraction, but with only one number (like 0.75 or 0.66). As a result, the fraction, unlike the decimal, makes the relationship between numbers explicit in the way it is written.