Question

convert 3.45 in to simplest form​

Answer 1

Answer:

69/20

Step-by-step explanation:

3.45=345/100

345/10=69/20 (Answer)

Answer 2

Step-by-step explanation:

To convert the decimal 3.45 to a fraction, just follow these steps:

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

3.45 = 3.45

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,

3.45

1

= (3.45 × 100)

(1 × 100)

= 345

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(345,100) = 5. So,

(345÷5)

(100÷5)

= 69

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 345

100

is also equal to 39

20

when expressed as a mixed number.