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Definition: Definition Fraction -An expression that indicates the quotient of two quantities such as 1/3. www.biotecnika.org
Parts of a Fraction: Parts of a Fraction Numerator- The number on top of the fraction Denominator- The number on the bottom of the Fraction www.biotecnika.org
Adding or Subtracting Fractions: Adding or Subtracting Fractions To add or subtract two fractions together you must first find a common denominator. Example : 1/2 + 1/6 1/2 = 3/6 so, 3/6+ 1/6= 4/6 or 2/3 in simplest form www.biotecnika.org
Adding Fractions: Adding Fractions www.biotecnika.org
Subtracting Fractions: Subtracting Fractions www.biotecnika.org
Multiplying Fractions: Multiplying Fractions Step 1: Simplify the fractions if not in lowest terms. Step 2: Multiply the numerators of the fractions to get the new numerator. Step 3: Multiply the denominators of the fractions to get the new denominator. Step 4: Simplify the resulting fraction if possible. www.biotecnika.org
Example:: Example:
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Slide 11: If 7a =3 and 3b = 7, what is the value of a/b? 9/49 3/7 1 7/3 Example www.biotecnika.org
Decimal Definition: Decimal Definition A fraction with an unwritten denominator of 10 or some power of ten, indicated by a decimal point www.biotecnika.org
Adding and Subtracting Decimals: Adding and Subtracting Decimals To add or subtract decimals you must line up the decimals www.biotecnika.org
Multiplying Decimals: Multiplying Decimals www.biotecnika.org
Slide 15: Example 1 Example 2 www.biotecnika.org
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Relationship Between Decimals and Fractions: Relationship Between Decimals and Fractions Both represent a part of a whole A fraction is based on the number into which the whole is divided(the denominator). The numerator (the top) is the PART, the denominator (the bottom) is the WHOLE. A decimal is based on the number in terms of tenths, hundredths, thousandths, etc. www.biotecnika.org
Conversions: Conversions Decimals to Fractions and Fractions to Decimals www.biotecnika.org
How to Convert Decimals to Fractions: How to Convert Decimals to Fractions Use the place value of the last digit in the number to determine what the denominator of the fraction will be. www.biotecnika.org
How to Convert Decimals to Fractions: How to Convert Decimals to Fractions .24 www.biotecnika.org
How to Convert Decimals to Fractions: How to Convert Decimals to Fractions .5 The 5 is in the tenths place 10 5 www.biotecnika.org
How to Convert Decimals to Fractions: How to Convert Decimals to Fractions .84 The 4 is in the hundredths place 100 84 www.biotecnika.org
What if there is a whole number before the decimal point?: What if there is a whole number before the decimal point? 1.589 The 9 is in the thousandths place 1000 589 1 www.biotecnika.org
What if there is a whole number before the decimal point?: 25.5 The 5 is in the tenths place 10 5 25 What if there is a whole number before the decimal point? www.biotecnika.org
How to Convert Fractions to Decimals: How to Convert Fractions to Decimals 100 23 This is the hundredths place so the 3 needs to be in the hundredths place. 2 3 .23 www.biotecnika.org
How to Convert Fractions to Decimals: How to Convert Fractions to Decimals 1000 567 This is the thousandths place so the 7 needs to be in the thousandths place. 5 6 .567 7 www.biotecnika.org
What if there is a whole number before the fraction?: What if there is a whole number before the fraction? 1000 567 This is the thousandths place so the 7 needs to be in the thousandths place. 5 6 3.567 7 3 3 www.biotecnika.org
How to Convert Fractions to Decimals: How to Convert Fractions to Decimals 1000 34 24.034 24 This is the thousandths place so the 4 needs to be in the thousandths place. www.biotecnika.org
Suppose You Can’t Use A Denominator of 10?: Suppose You Can ’ t Use A Denominator of 10? 6 5 Divide the Numerator by the Denominator www.biotecnika.org
Suppose You Can’t Use A Denominator of 10?: Suppose You Can ’ t Use A Denominator of 10? 6 5 6 5 .0 . 8 4 8 2 0 0 3 18 2 .83 www.biotecnika.org
Suppose You Can’t Use A Denominator of 10?: Suppose You Can ’ t Use A Denominator of 10? 3 2 3 2 .0 . 6 1 8 2 .6 www.biotecnika.org
Try Some . . .: Try Some . . . 8 7 50 5 10 6 4 3 16 12 40 3 www.biotecnika.org
Try Some . . .: Try Some . . . .35 .25 .95 .6 .875 .125 www.biotecnika.org
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1: 1 When 0.36 is written in simplest fractional form, the sum of numerator and the denominator is: a) 34 b) 45 c) 114 d) 135 Ans : a www.biotecnika.org
2: 2 Which of the following has fractions in ascending order? 1/3, 2/5, 4/7, 3/5, 5/6, 6/7 1/3, 2/5, 3/5, 4/7, 5/6, 6/7 1/3, 2/5, 3/5, 5/6, 4/7, 6/7 2/5, 3/5, 1/3, 4/7, 5/6, 6/7 Ans : a www.biotecnika.org
3: 3 What is the difference between the biggest and the smallest fraction among 2/3, 3/4, 4/5 and 5/6? a) 1/6 b) 1/12 c) 1/20 d) 1/30 Ans : a www.biotecnika.org
4: 4 The value of (1+0.1+0.01+0.001) is: 1.001 b) 1.011 c) 1.003 d) 1.111 Ans : d www.biotecnika.org
5: 5 The number 518000000 when expressed in scientific notation, equals: a) 51.8 x10 6 b) 51.8x10 7 c) 5.18 x10 8 d) 5.18x 10 9 Ans : c www.biotecnika.org
6: 6 If 1.125 x 10 k = 0.001125, then the value of k is : a) -4 b) -3 c) -2 d) -1 Ans : c www.biotecnika.org
7: 7 How many digits will be there to the right of the decimal point in the product of 95.75 and 0.02554? a) 5 b) 6 c) 7 d) None of these Ans : c www.biotecnika.org
8: 8 (0.00625 of 23/5), when expressed as a vulgar fraction, equals: a) 23/80 b) 23/800 c) 23/8000 d) 125/23 Ans : b www.biotecnika.org
9: 9 0.213/ 0.00213 =? a ) 1 b) 10 c) 100 d) None of these Ans : c www.biotecnika.org
10: 10 A tailor has 37.5 m of cloth and he has to make 8 pieces out of a meter of cloth. How many pieces can he make out of this cloth? a) 300 b) 360 c) 400 d) None of these Ans : a www.biotecnika.org
11: 11 The prices of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs . 4.20 and that of Y was Rs . 6.30, in which year commodity X will cost 40 paise more than the commodity Y? a) 2010 b) 2011 c) 2012 d) 2013 Ans : b www.biotecnika.org
12: 12 If 1/6.198 = 0.16134, then the value of 1/ 0.0006198 is: a) 0.016134 b) 0.16134 c) 1613.4 d) 16134 Ans : c www.biotecnika.org
13: 13 When 52416 is divided by 312, the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168? 3.12 b) 312 c) 3120 d) None of these Ans : c www.biotecnika.org
14: 14 Evaluate [(2.39)2 – (1.61)2]/ (2.39 – 1.61) a) 2 b) 4 c) 6 d) 8 Ans : b www.biotecnika.org
15: 15 What decimal of an hour is a second? a) 0.0025 b) 0.0256 c) 0.00027 d) 0.00126 Ans : c www.biotecnika.org
16: 16 The expression (11.98 x 11.98 + 11.98 x a + 0.02 x 0.02) will be a perfect square for a equal to: a) 0.02 b) 0.2 c) 0.04 d) 0.4 Ans : c www.biotecnika.org
17: 17 What will be the value of: 25.732 2 – 15.732 2 ? a) 214.64 b) 314.64 c) 414.64 d) 412.64 Ans : c www.biotecnika.org
18: 18 I bought my coat in the January sales with 1/3 off the original price. What percentage was taken off the price of the coat ? a) 56% b) 78% c)33% d)34% Ans : c www.biotecnika.org
19: 19 [(4.2 x 4.2)-(1.9 x 1.9)]/(2.3 x 6.1) is equal to: a) 0.5 b) 1.0 c) 20 d) 22 Ans : b www.biotecnika.org
20: 20 Given that 268 x 74 = 19832, find the value of 2.68 x .74 . a) 19.832 b)198.32 c)0.19832 d)1.9832 Ans : d www.biotecnika.org
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