Question

2) Morgan got a 42 out of 40 points on her American Government quiz due to an extra credit question.
a) Write her grade as a mixed number in simplest form.

b) What is Morgan's grade written as a percent?

Answer 1

Answer:

a) 1 $\frac{1}{20}$

b) 105%

Answer 2

Her grade as a mixed number in simplest form $= 1 \frac{1}{20}$

Morgan's grade written as a percent $= 105\%$

GIVEN:- Morgan got 42 out of 40 points

TO FIND:-

a) Write her grade as a mixed number in the simplest form.

b) What is Morgan's grade written as a percent?

SOLUTION:-

• The mixed form is represented by its quotient and remainder.

Her grade as a mixed number in simplest form

$= \frac{42}{40}$

Dividing numerator and denominator by 2

$= \frac{21}{20} \\ = 1 \frac{1}{20}$

Percentage

$= \frac{marks \: obtained}{total \: marks} \times 100 \\ = \frac{42}{40} \times 100 \\ = \frac{4200}{40} \\ = 105\%$

Hence,

her grade as a mixed number in simplest form = $1 \frac{1}{20}$

Morgan's grade written as a per cent =$105\%|$

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