What Is 1 3/8 as a Decimal + Solution With Free Steps

The fraction 1 3/8 as a decimal is equal to 1.375.

When we have a proper fraction and a whole number together, it is known as a Mixed Fraction. For example, in a fraction of 1 3/8, 1 is a whole number and 3/8 is a proper fraction. Usually, a number that lies between two whole numbers is represented by a mixed fraction.

Below is the method explained to solve a mixed fraction by Long Division.

Solution

The transformation of a mixed fraction into an improper fraction is the first step in solving the problem. For the given fraction, this transformation is done by adding a product of 8 and 1 to 3. The resultant value obtained gives us the numerator of the improper fraction, while its denominator is equal to the denominator of the mixed fraction i.e., 8. Thus we get 11/8 to solve. Here 11 is the Dividend and 8 is the Divisor.

Dividend = 11

Divisor = 8

The result that we get as a result of this division is called Quotient.

Quotient = Dividend $\div$ Divisor = 11 $\div$ 8

If we get some remaining value after the division, this left-over value is known as Remainder.

Figure 1

1 3/4 Long Division Method

To get the decimal value of 1 3/8, we will solve 11/8 by Long Division.

11 $\div$ 8

In the process division, we subtract a multiple of the divisor from the dividend, which is closest to the dividend. If we get an answer equal to zero, it means that the fraction is solved. On the other hand, if we obtain a non-zero remainder, it indicates that we need to solve more.

In the given case, the closest multiple of 8 t0 11 is 8, so we proceed as follows.

11 $\div$ 8 $\approx$ 1

Where:

8 x 1 = 8

Remainder 11 – 8 =3 is determined. As we get a remainder greater than zero, so we will solve further and will divide 3 by 8. One important thing is that now the remainder of 3 is less than 8, so we must have a Decimal Point in the quotient for the next steps. We multiply the remainder with 10 to get this decimal point. Hence now we have to divide 30 by 8.

30 $\div$ 8 $\approx$ 3

Where:

8 x 3 = 24

This time the remainder is 30 – 24 =6.

When 6 is multiplied by 10, we get 60 to be divided by 8.

60 $\div$ 8 $\approx$ 7

Where:

8 x 7 = 56

4 is obtained as the remaining value.

60 – 56 = 4

Now we get 40 by multiplication of 4 by 10. Further division steps are given below.

40 $\div$ 8 $\approx$ 5

Where:

8 x 5 = 40

The Remainder is 40 – 40 =0, which shows that the division process is completed and

1 3/8 is equal to 1.375.

Images/mathematical drawings are created with GeoGebra.