Answer:
7.82 = 391
50
= 741
50
as a fraction
To convert the decimal 7.82 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
7.82 = 7.82
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,
7.82
1
= (7.82 × 100)
(1 × 100)
= 782
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(782,100) = 2. So,
(782÷2)
(100÷2)
= 391
50
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 782
100
is also equal to 741
50
when expressed as a mixed number.
Step-by-step explanation:
