Question

What is 2.125 as a fraction?

Answer 1

2.125 = 17/8 = 21/8 as a fraction

Step by Step Solution

To convert the decimal 2.125 to a fraction follow these steps:

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

2.125 = 2.125/1

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,

2.125/1 = (2.125 x 1000)/(1 x 1000) = 2125/1000.

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(2125,1000) = 125. So,

(2125÷125)/(1000÷125) = 17/8 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 2125/1000 is also equal to 2 1/8 when expressed as a mixed number.

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