1.825 = 73/40 = 133/40 as a fraction
Step by Step Solution
To convert the decimal 1.825 to a fraction follow these steps:
Step 1: Write down the number as a fraction of one:
1.825 = 1.825/1
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,
1.825/1 = (1.825 x 1000)/(1 x 1000) = 1825/1000.
Step 3: simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (greates common divisor between them. In this case, GCD(1825,1000) = 25. So,
(1825÷25)/(1000÷25) = 73/40 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 1825/1000is also equal to 1 33/40 when expressed as a mixed number.