Video Transcript
Write 5.07 as a fraction in its
simplest form. Then, write 5.07 in percentage
form.
We begin by considering the decimal
5.07. Using a decimal place value table,
we see that 5.07 terminates in the hundredths place. We can therefore write this decimal
as 507 out of 100, or five hundred and seven hundredths. The numerator and denominator of
our fraction have no common factor other than one. However, we can write this fraction
as a mixed number. We begin by writing 507 over 100 as
500 over 100 plus seven over 100. Since 500 divided by 100 is five,
the whole number part is five. This means that the decimal 5.07
written as a fraction in its simplest form is five and seven hundredths.
The second part of this question
asks us to express the decimal 5.07 in percentage form. We recall that we can convert a
decimal 𝑑 to a percentage 𝑝 percent by multiplying 𝑑 by 100. In this question, we have to
multiply 5.07 by 100, and this is equal to 507. We can therefore conclude that the
decimal 5.07 is equivalent to 507 percent.
