Question

Do this decimal into lowest form
15.55

Answer 1

Answer:

311/20, or 15 ¹¹⁄₂₀

Step-by-step explanation:

15.55

= 1555/100

= 311/20

Answer 2

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

15.55 = 15.55

1

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

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

15.55

1

= (15.55 × 100)

(1 × 100)

= 1555

100

.

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(1555,100) = 5. So,

(1555÷5)

(100÷5)

= 311

20

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 1555

100

is also equal to 1511

20

when expressed as a mixed number.