SOLUTION: jacob is 4 7/8ft tall, and emily is 5 3/16ft tall. emily claims she is at least 1/2ft taller than jacob. is she?

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: jacob is 4 7/8ft tall, and emily is 5 3/16ft tall. emily claims she is at least 1/2ft taller than jacob. is she?       Log On


   



Question 699492: jacob is 4 7/8ft tall, and emily is 5 3/16ft tall. emily claims she is at least 1/2ft taller than jacob. is she?
Answer by sp75(12) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the given mixed numbers into improper fractions by multiplying the leading coefficient withe the denominator and then adding the numerator to that product.
You'll find that Jacob is 39%2F8 feet tall and Emily is 83%2F16 feet tall.
To see if she is at least a half a foot taller, you will need to find the difference between both of their heights. To do that, you will need to subtract which means you need to find a common denominator. In this case, 16 will be sufficient.
Now you have Jacob is 78%2F16 feet tall and Emily is 83%2F16 feet tall.
%2883%2F16%29-%2878%2F16%29=+%285%2F16%29
5%2F16 is less than a half. This means Emily is not at least a half of a foot taller than Jacob.