Question

write as fraction in lowest term 0.545​

Answer 1

Step-by-step explanation:

0.545 = 109

200

as a fraction

To convert the decimal 0.545 to a fraction, just follow these steps:

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

0.545 = 0.545

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 the numerator and denominator by 1000. So,

0.545

1

= (0.545 × 1000)

(1 × 1000)

= 545

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(545,1000) = 5. So,

(545÷5)

(1000÷5)

= 109

200

when reduced to the simplest form.