Question

Convert 8.125 into fractional form and write it into reduced form.

Answer 1

Answer:

Step-by-step explanation:

8.125 = 65

8

= 81

8

as a fraction

To convert the decimal 8.125 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

8.125 = 8.125

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

8.125

1

= (8.125 × 1000)

(1 × 1000)

= 8125

1000

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(8125,1000) = 125. So,

(8125÷125)

(1000÷125)

= 65

8

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 8125

1000

is also equal to 81

8

when expressed as a mixed number.