Answer:
3 3/16
Step-by-step explanation:
Conversion a mixed number 8 1/2
to a improper fraction: 8 1/2=8×2+1/2=16+1/2=17/2
To find a new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2×3/3= 6/
3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Divide: 17/2×8/3=17/2×3/8=17×3/2×8= 51/
16
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/3 is 3/8) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seventeen halves divided by eight thirds = fifty-one sixteenths.
51/16
3 3/16
If a single board measures 1/12 of a meter then it would take 12 boards to make a meter. Since, the stack is 2 meters high. You would multiply 12 and 2 to get 24. There is 24 boards in the stack.
Answer:
3,4,5 forms a right triangle
1,2 ,9 does not form a triangle
Step-by-step explanation:
Three side lengths that will form a triangle
3,4,5
This is a Pythagorean triple. It forms a right triangle
3^2 +4^2 = 5^2
9+16=25
25=25
Three side lengths that will not form a triangle
1,2 9
The sum of the two smaller sides must be greater then the third
1+2 < 9 not greater
a) 9 toilet rolls cost $ 4.23
1 toilet roll costs $ x
9x = 4.23 * 1
x= 4.23 / 9
x = 0.47
So in first case one toilet roll costs $ 0.47.
b) 4 toilet rolls cost $1.96
1 toilet roll costs $ x
4x = 1.96 * 1
x = 1.96 / 4
x = 0.49
So in second case one toilet roll costs $ 0.49.
0.47 < 0.49
The toilet roll in first case is cheaper than the toilet roll in second case.
Hope this heps!
