Fractions and Decimals
(100/1) x (7/4) =(700/4)= 175
In the meat department of a supermarket, 100 pounds of chopped meat was divided into packages, each of which weighted (4/7) of a pound. How many packages were there?
2/3= 0.66 5/8=0.625 13/20=0.65 13/20, 5/8, 2/3
List the following fraction, least to greatest (2/3), (5/8), (13/20)
3x 4= 12 5x 7=35 =12/35
To multiply fractions (3/5) x (4/7)
Convert it into a decimal Cross multiply (1/3) x (3/8) 3x3 > 8x1, then 3/8> 1/3
What are the two ways to compare a fraction?
Cross multiplied (2/3) and (28/45) 2 x 45= 90 3 x 28=84 the fractions aren't equal
What is an easy way to determine if two fractions are equivalent?
Multiply (4/7) x (350/1)= (1400/7)= 200 girls (7/8) x (200/1)= (1400/8)=175 girls who play on a team 200-175=25 girls
When a problem requires you to find a fraction of a number, what should you do? If (4/7) of the 350 sophomores at Monroe High are girls, and (7/8) of them play on a team, how many sophomore girls don't play on a team?
left for every zero 67.8/10= 6.78
When you divide a decimal by ten you move the decimal point to the ____________
right for each zero 1.35 x 10= 13.5
When you multiple any decimal by 10 you move the decimal point to the ____________
Factorial !
the product of the natural numbers less than or equal to the number (6!/8!)=(6x5x4x3x2x1)/(8x7x6x5x4x3x2x1)
write the number as a fraction 3x 7= 21 5x 1=5 21/5
to multiply a fraction and a number... (3/5) x 7
reciprocal fraction
when the denominator and numerator are flipped (a/b) reciprocal (b/a) (a/b) x (b/a)=1
Quantity A
0< x< y Quantity A: (1/x)-(1/y) Quantity B: 0
complex fraction
A fraction that contains one or more fractions in its numerator or denominator (1+(1/6)) / (2 -(3/4))
rational number
A number that can be written as a fraction
Reduce (3/4) x (8/9) x (15/16) (1/4) x (1/1) x (5/2) (1 x 1 x 5)/ (4 x 1 x 2)=(5/8)
Before multiplying fractions you should _____ (3/4) x (8/9) x (15/16)
Rewrite the fractions as a fraction with the common denominator (1/6) + (3/4) (2/12) + (9/12)= 11/12
How do you add or subtract fractions with different denominator? (1/6) +(3/4)
Only add or subtract the numerators (4/9) +(1/9)= 5/9 (4/9)- (1/9)= (3/9) or 1/3
How do you add or subtract fractions with the same denominator?
Multiply by the reciprocal (20/1) x (3/2)=30 (3/5) x (3/2)= (9/10)
How do you divide a fraction? 20/ (2/3) (3/5) / (2/3)
Divide the numerator and denominator by the GCF (6/8) 6/2=3 8/2=4 (6/8)=(3/4)
How do you reduce a fraction?
multiply every term by a LCM (1+(1/6)) / (2 -(3/4)) (12(1) + 12(1/6)) / (12(2) - 12(3/4)) (12+2) / (24-9)= (14/ 15) or simplify and then cross multiply (7/6) / (5/4) (7x6) x (4/5)= 14/15
How do you simplify complex fractions? (1+(1/6)) / (2 -(3/4))
(1/2) + (1/4) + (1/5) (10/20) + (5/20) + (4/20)=(19/20) 20-19= 1 (1/20)
In a jar (1/2) of the marbles are red, (1/4) are white, and (1/5) are blue. What fraction are neither red, whit of blue?