decmail to fractions 7.15
Answers
Answer:
7.15 = 143
20
= 73
20
as a fraction
To convert the decimal 7.15 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
7.15 = 7.15
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,
7.15
1
= (7.15 × 100)
(1 × 100)
= 715
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(715,100) = 5. So,
(715÷5)
(100÷5)
= 143
20
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 715
100
is also equal to 73
20
when expressed as a mixed number.