PAX MATH 1 EXAM NLN STUDY GUIDE 2026
QUESTIONS WITH SOLUTIONS GRADED A+
◉ invert the second fraction, and then multiply the two fractions
ex. 1/5 divided by 2/3 = 1/5 x 3/2 = 3/10 Answer: dividing fractions
◉ reduce fraction to lowest terms; divide both numerator and
denominator by greatest common factor
ex. 5/10 = 1/2, 9/12 = 3/4 Answer: reducing fractions
◉ all fractions must have the same (common) denominator (LCD).
once this is accomplished then add or subtract the numerator
ex. 1/4 + 5/6 LCD = 12
12 divided by 4 = 3x1 = 3/12
12 divided by 6 = 2x5 = 10/12
3/12 + 10/12 = 13/12 = 1 1/12 Answer: adding/subtracting
fractions
, ◉ represents part of a whole (or more than) a whole number. to do
so, decimals use place values to the right of the decimal point.
ex. 78.24693 Answer: decimals
◉ one = tenth
two= hundreth
three= thousandth
four= hundred thousands
five= hundreth thoudandths
six= millionth
ex. 0.78 = seventy eight thousandths
2.305 = two and three hundred five thousands Answer: place values
◉ 0.1 = 1/10 0.23 = 23/100
0.01 = 1/100 2.75 = 2 75/100
0.001 = 1/1000 0.005 = 5/1000
*always reduce to simplest form* Answer: converting decimals to
fractions
QUESTIONS WITH SOLUTIONS GRADED A+
◉ invert the second fraction, and then multiply the two fractions
ex. 1/5 divided by 2/3 = 1/5 x 3/2 = 3/10 Answer: dividing fractions
◉ reduce fraction to lowest terms; divide both numerator and
denominator by greatest common factor
ex. 5/10 = 1/2, 9/12 = 3/4 Answer: reducing fractions
◉ all fractions must have the same (common) denominator (LCD).
once this is accomplished then add or subtract the numerator
ex. 1/4 + 5/6 LCD = 12
12 divided by 4 = 3x1 = 3/12
12 divided by 6 = 2x5 = 10/12
3/12 + 10/12 = 13/12 = 1 1/12 Answer: adding/subtracting
fractions
, ◉ represents part of a whole (or more than) a whole number. to do
so, decimals use place values to the right of the decimal point.
ex. 78.24693 Answer: decimals
◉ one = tenth
two= hundreth
three= thousandth
four= hundred thousands
five= hundreth thoudandths
six= millionth
ex. 0.78 = seventy eight thousandths
2.305 = two and three hundred five thousands Answer: place values
◉ 0.1 = 1/10 0.23 = 23/100
0.01 = 1/100 2.75 = 2 75/100
0.001 = 1/1000 0.005 = 5/1000
*always reduce to simplest form* Answer: converting decimals to
fractions
