Convert 2.176 in the form of p/q is --------------
Answers
Answer:
2176/1000
Step-by-step explanation:
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Answer:
2.176 in p/q form is written as 272/125
Step-by-step explanation:
A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0. Some of the examples of rational numbers include 1/3, 2/4, 1/5, 9/3, and so on.
To convert the decimal 2.176 to a fraction, just follow these steps:
- Step 1: Write down the number as a fraction of one
2.176 = 2.176/1
- 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,
2.176/1
= (2.176 × 1000)/(1 × 1000)
= 2176/1000
- 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(2176,1000) = 8. So,
(2176÷8)/(1000÷8)
= 272/125 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, 2176/1000 = 272/125