What Is 19/20 as a Decimal + Solution With Free Steps

19by20 As A Decimal

The fraction 19/20 as a decimal is equal to 0.95.

Fractions and Decimals are different methods of representing the same numbers or values and are interconvertible to each other. Both are identified by their unique representations. Fractions are identified by the ratio and decimals are identified by the existence of decimal points. Fraction is composed of two parts, Numerator and Denominator. These components after division provide the result in the form of a decimal value. For example, 19/20 is a fraction, while 0.95 is its equivalent decimal number.

Both fractions and decimals have various types. For example, fractions have types named as proper fractions, improper fractions, mixed fractions, etc, and decimals have different types like recurring decimals, non-recurring decimals, etc.

As for as mathematical operations are concerned, decimal values are more likely to be used than fractions because they are more feasible and accurate than fractions.

In this article, a complete procedure is given to find the decimal value of 19/20.

Solution

To divide a fraction, the numerator or upper part is considered a Dividend, and the denominator or lower part is considered a Divisor. Here in 19/20:

Dividend = 19

Divisor = 20

The resultant value obtained after the division of both these numbers is known as the Quotient.

Quotient = Dividend $\div$ Divisor = 19 $\div$ 20

The complete solution is explained below according to the Long Division method.

19 20 as a decimal

Figure 1

19/20 Long Division Method

We have to divide 19 by 20.

19 $\div$ 20

A dividend that is bigger than the divisor is required in order to divide a fraction. But if we don’t have a such dividend, a decimal point is initially added to the quotient. To execute this, we multiply the dividend by 10, and after that, divide the resulting value by the divisor.

In our situation, the dividend 19 is also less than 20, the divisor, so we add a decimal point in the quotient and multiply the dividend by 10 to get the result. 190 is the resultant value, which is then divided by 20.

190 $\div$ 20 \approx 9

20 x 9 = 180

If there is still any amount or value left after division, it is an indication that division has not been done completely. The remainder is the term used for describing the left-over amount or value. In the given case which is represented by:

190 – 180 = 10

This remainder is used as the dividend for the next steps of division. But 10 is again less than 20, so we have to multiply it again by 10, which gives us 100.

100 $\div$ 20 = 5

20 x 5 = 100

And the remainder appears as:

100 – 100 =0

Because there is no value left, we deduce that the fraction has been solved and its corresponding decimal value is 0.95. It is also concluded that this decimal is a Non-recurring and terminating decimal.

19 20 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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