convert the following decimals into fraction:112.625
Answers
Step-by-step explanation:
112.625
= 112625/1000
= 901/8
= 112 ⅝ (112 whole 5/8) --- this is the simplest form
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Answer:
63/500
Step-by-step explanation:
To convert 112.6 percent to a fraction follow these steps:
Step 1: Write down the percent divided by 100 like this:
112.6% = 112.6/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,
112.6/100 = (112.6 x 10)/(100 x 10) = 1126/1000.
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(1126,1000) = 2. So,
(1126÷2)/(1000÷2) = 563/500 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 1126/1000 is also equal to 1 63/500 when expressed as a mixed number.