To convert the decimal 0.345 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.345 = 0.345
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 numerator and denominator by 1000. So,
0.345
1
= (0.345 × 1000)
(1 × 1000)
= 345
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(345,1000) = 5. So,
Answers & Comments
Answer:
0.345 = 69
200
as a fraction
To convert the decimal 0.345 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.345 = 0.345
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 numerator and denominator by 1000. So,
0.345
1
= (0.345 × 1000)
(1 × 1000)
= 345
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(345,1000) = 5. So,
(345÷5)
(1000÷5)
= 69
200
when reduced to the simplest form.
Answer:
Step-by-step explanation: