General Math 1 Lesson 2

Which of the following is a good way to quickly determine whether 3⁄12 and 1⁄4 are equal? a.) Cross multiplication b.) Reciprocal multiplication c.) Inverse multiplication d.) Equal multiplication

Cross multiplication - Cross multiplication is a good way to quickly determine whether two fractions are equal. Here is the cross multiplication for this problem: 3 × 4 = 12 12 × 1 = 12 Therefore, 3⁄12 and 1⁄4 are equal.

John had 2/3 of his homework complete, Sarah had 5/10, Alex 7/8, and Michelle 1/2. Who completed the most of the homework assignment? a.) John b.) Alex c.) Sarah d.) Michelle

Alex

Identify the appropriate mixed number for the picture shown. a.) 1/4 b.) 4/5 c.) 5/4 d.) 1 1/4

1 1/4

Select the proper order from least to greatest for 2/3, 7/6, 1/8, 9/10. a.) 2/3, 9/10,7/6,1/8. b.) 1/8, 9/10, 7/6, 2/3. c.) 7/6, 9/10, 2/3, 1/8. d.) 1/8, 2/3, 9/10, 7/6.

1/8, 2/3, 9/10, 7/6.

Yolanda spends 8 2/3 hours per month playing soccer. Approximately how many hours does she play soccer in a year? (There are twelve months in a year.) a.) 416 b.) 28 c.) 104 d.) 197

104

Which fraction has a value that's equal to 3/4? a.) 12/16 b.) 9/16 c.) 4/3 d.) 12/12

12/16

Which one of the following examples represents a proper fraction? a.) 3/2 b.) 15/22 c.) 12/9 d.) 8/8

15/22

9/11 = ?/22 a.) 12 b.) 4 c.) 9 d.) 18

18

How would you simplify the fraction 4⁄28? a.) 1⁄7 b.) 1⁄28 c.) 4⁄7 d.) 1⁄4

1⁄7 - The process of changing fractions to their lowest or simplest form is called reducing or simplifying. In this fraction, 28 ÷ 4 = 7, so 4⁄28 = 1⁄7.

Identify the appropriate mixed number for the picture shown. a.) 3 b.) 2 1/2 c.) c.) 1 1/2 d.) 2 1/4

2 1/2

Which of the following is a mixed number? a.) 2 1/2 b.) 5/2 c.) 2/5 d.) 2.3

2 1/2

What's the least common multiple (LCM) of 2, 6, and 8? a.) 24 b.) 12 c.) 2 d.) 48

24

Subtract: 8 - 4 1/2. a.) 4 b.) 4 1/2 c.) 3 1/2 d.) 3

3 1/2

Which of the following is the proper operation of 3/7? a.) 3 divided by 7 b.) 3 times 7 c.) 7 divided by 3 d.) 7 times 3

3 divided by 7

Reduce the fraction 36/48 to its lowest terms. a.) 1 1/4 b.) 1 12/48 c.) 3/4 d.) 6/8

3/4

Answer this problem. 3⁄14 ÷ 2⁄7 = ? a.) 1⁄7 b.) 1⁄2 c.) 3⁄4 d.) 2⁄7

3⁄4 - Cross multiply the fractions: 3 × 7 = 21, and 14 × 2 = 28. Therefore, the answer is 21⁄28, or 3⁄4.

4⁄8 + 1⁄4 = ? What is the correct answer to this problem? a.) 1 b.) 5⁄8 c.) 3⁄4 d.) 2⁄8

3⁄4 - To add two fractions, you need to find the lowest common denominator (LCD). The LCD in this problem is 8. Since 2 × 4 = 8, you would change 1⁄4 to 2⁄8. 4 + 2 = 6, so the answer is 6⁄8, or 3⁄4.

Answer this problem. 6⁄7 × 1⁄2 = ? a.) 3⁄7 b.) 3⁄14 c.) 12⁄7 d.) 2⁄7

3⁄7 - Multiply the fractions together: 6 × 1 = 6, and 7 × 2 = 14. Therefore, the answer is 6⁄14, or 3⁄7.

Jane is making a suit which requires 2 5/8 yards for the jacket and 1 3/4 yards for the skirt. What's the total amount of material she needs? a.) 4 3/8 yards b.) 3 1/2 yards c.) 4 yards d.) 3 2/3 yards

4 3/8

4 divided by 5 can be written as a fraction represented by which of the following? a.) 4/5 b.) 4 x 5 c.) 5/4 d.) 5 x 4

4/5

7 1/5 - 6 2/5 = ? a.) 13 3/5 b.) 4/5 c.) 1 4/5 d.) 1 1/5

4/5

Multiply 6/5 x 25/24. a.) 5/4 b.) 4/5 c.) 144/125 d.) 125/144

5/4

Divide 7/15 by 3/5. a.) 75/21 b.) 21/75 c.) 7/9 d.) 7/25

7/9

Which of the following is a shortcut to multiplying fractions? a.) Inverse method b.) Cross multiplying method c.) Reciprocal method d.) Cancellation method

Cancellation method - When you're multiplying fractions, there's a handy shortcut way to arrive at the correct answer. This shortcut is known as the cancellation method.

Which of the following terms correctly describes the fraction 14⁄6? a.) Improper fraction b.) Inverse fraction c.) Proper fraction d.) Reverse fraction

Improper fraction - Any fraction that has a numerator that's smaller than the denominator is called a proper fraction. Any fraction that has a numerator equal to or greater than its denominator is called an improper fraction.

To subtract a fraction or a mixed number from a whole number, you'll first need to convert the whole number to which of the following? a.) Reciprocal b.) Mixed number c.) Like fraction d.) Proper fraction

Mixed number - To subtract a fraction or a mixed number from a whole number, you'll first need to convert the whole number to a mixed number. The fraction part of the mixed number should have the same denominator as the fraction you're subtracting.

In the fraction 15⁄7, which of the following is 15? a.) Numerator b.) Factor c.) Divisor d.) Denominator

Numerator - A fraction is always written as two numerals separated by a dividing line. The number above the line is called the numerator. The number below the line is called the denominator.

If you have ⅜ of one pie, what does the denominator tells you? a.) You have three of eight pieces of pie. b.) The pie was cut into eight pieces. c.) You have three of eight pies. d.) The pie was cut into three pieces.

The pie was cut into eight pieces - If you have ⅜ of one pie, the denominator 8 tells you that the pie was cut into eight pieces, and the numerator 3 tells you that you have three of those eight pieces of pie.

There are two pizzas. Conor at 1/4 of a pizza, Brandon 2/8, Tyler 3/4, and Audrey 4/8. Who ate the most of the two pizzas? a.) Tyler b.) Conor c.) Brandon d.) Audrey

Tyler

On Monday Sarah had homework in 7/10 of her classes, Tuesday 3/5, Wednesday 9/11, and Thursday 1/2. Which day did she have the MOST homework? a.) Thursday b.) Monday c.) Tuesday d.) Wednesday

Wednesday - Least common multiple for 10, 5, 11 and 2 is 110. Monday: 7/10 = (7*11)/(10*11) = 77/110Tuesday: 3/5 = (3*22)/(5*22) = 66/110Wednesday: 9/11 = (9*10)/(11*10) = 90/110Thursday: 1/2 = (1*55)/(2*55) = 55/110Since 90 > 77 > 66 > 55 it is clear that Sarah had the most homework on Wednesday.