Video Transcript
Write the absolute value of four
and three thirteenths as a fraction.
The absolute value of any number is
its distance from zero. This means that the absolute value
or modulus of any number is never negative. The absolute value of four and
three thirteenths is, therefore, equal to four and three thirteenths. This is currently a mixed number,
whereas we want to write our answer as a fraction. In this case, it will be top heavy
or improper. We know that one whole one is equal
to thirteen thirteenths. This means that four whole ones are
equal to fifty-two thirteenths as thirteen multiplied by four is 52.
Four and three thirteenths is
therefore equal to fifty-two thirteenths plus three thirteenths. As the denominators of these
fractions are the same, we simply add the numerators. This gives us an answer of
fifty-five thirteenths. We notice that the denominator has
stayed the same and only the numerator has changed. A quicker way of calculating 55 is
to multiply the whole number four by the denominator 13 and then adding three. Four multiplied by 13 is 52, and
adding three gives us 55. This confirms that four and three
thirteenths is equal to fifty-five thirteenths. This is the absolute value of four
and three thirteenths written as a fraction.
