Question

Express the following as a fraction reduced to the decimal form

(U) 2.25%
​

Answer 1

Answer:

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Step-by-step explanation:

To convert the decimal 2.25 to a fraction, just follow these steps:

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

2.25 = 2.25

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,

2.25

1

= (2.25 × 100)

(1 × 100)

= 225

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(225,100) = 25. So,

(225÷25)

(100÷25)

= 9

4

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 225

100

is also equal to 21

4

when expressed as a mixed number.

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