math question?

Question

i can't think straight: what's 1 1/6 as a decimal (one and one sixth)

also: what's 8/9 divided by 3/4?

32 in. = ______ ft?

Answer 1

1. What's 1 1/6 as a decimal?

First: make the mixed fraction an improper fraction > multiply the whole number (1) with the denominator (6) & add the result to the numerator (1). Place the final result over the denominator (6).

[1(6)+ 1)/6

[6 + 1]/6

= 7/6

Sec: divide the numbers....

approximately = 1.17

2. What's 8/9 divided by 3/4?

(8/9) / (3/4)

First: the rule is - you can't divide fractions...

Sec: multiply the 1st fraction by the reciprocal of the 2nd fraction(flip the 2nd fraction)...

(8/9) * (3/4)

Third: multiply the numerators & denominators....

(8*3)/(9*4)

24/36

approximately = 0.67

Answer 2

First, 1 + 1/6 = 7/6. Then, do long division, with lots of decimal places: 7/6 = 1.16666...

(8/9) / (3/4) = (8/9) * (4/3) = (8 * 4) / (9 * 3) = 32/27

Since 1 foot = 12 inches, do a proportion to find how much feet 32 inches have:

1/12 = x/32
x = 32/12 = 8/3 feet

Answer 3

a.) 1 1./6 divide 1 by 6
_
= 0.16 bar means repeating decimal
_ 0.06 is being repeated
= 1.16

b.) 8/9 divided by 3/4 RULE: Change 3/4 to its reciprocal, 4/3, then
change division operation to multiplication

= (8/9)(4/3) = 32/27
or = 1 5/27 changing improper fraction to mixed number
___
or = 1.185 in decimal form 0.185 is being repeated

c.) 32 in (1 ft / 12 in) = 32/12 ft
or = 2 2/3 ft in mixed no. simplified form
_
or = 2.6 ft in decimal form 0.6 is being repeated

Answer 4

1/6 = .1666666...
So 1 1/6 = 1.16666....


8/9 / 3/4 = 8/9*4/3 = 32/27


32 in. = 2 feet 8 in = 2.66666... feet (2 2/3 ft)

Answer 5

1 1/6 = 1.166666...

(8/9)/(3/4)
(8/9)(4/3)
32/27

32 inches = 2 2/3 feet

Answer 6

1 1/6 = 6/6 +1/6 =7/6=1.1667 rounding

Answer 7

1.17