Question

convert 7.2 into the simplest fraction form​

Answer 1

Answer:

Step-by-Step Solution

7.2 = 36

5

= 71

5

as a fraction

To convert the decimal 7.2 to a fraction, just follow these steps:

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

7.2 = 7.2

1

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

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

7.2

1

= (7.2 × 10)

(1 × 10)

= 72

10

.

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(72,10) = 2. So,

(72÷2)

(10÷2)

= 36

5

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 72

10

is also equal to 71

5

when expressed as a mixed number.