What is the rational number of 1.345
The rational number equivalent to 1.345 is 1345/1000.
To determine the rational number equivalent to 1.345, we need to express it as a fraction. Here are the steps:
Step 1: Write down the decimal number as a fraction, with the decimal part as the numerator and the place value as the denominator. In this case, the decimal part is 0.345, and the place value is 1 (since it is in the thousandth place).
Step 2: Multiply the numerator and denominator by 1,000 to remove the decimal point. This will allow us to express the decimal part in the numerator as a whole number. So, we get 0.345/1 x 1,000/1,000 = 345/1000.
Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it. In this case, the GCD of 345 and 1000 is 5. So, we have (345/5)/(1000/5) = 69/200.
Therefore, the rational number equivalent to 1.345 is 69/200.