convert 3.45 in to simplest form
Answers
Answer:
69/20
Step-by-step explanation:
3.45=345/100
345/10=69/20 (Answer)
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.