If you want to turn a fraction to a decimal, you have to divide the numerator by the denominator in order to get a decimal number. If the fraction is a mixed number, you would do the same but make sure that the whole number is in front of the decimal.
Set up the ratio as fractions
(5/8) cup red / (2/5) cup yellow = r amount of red / 1 cup yellow
Then cross multiply the numbers and set up as a equation like this
(5/8) × 1 = (2/5) × r
(5/8) = (2/5)r
Multiply both sides of the equation by (5/2) to get rid of the fraction and solve for r
(5/2) × (5/8) = (2/5)r × <span>(5/2)
25/16 = r
Reduce down to 5/4 or change to a mixed number
1 and 1/4 cups = r</span>
Answer:
To find how many blocks it would take in each of these scenarios, you could find the total volume and then divide by the volume of each smaller cube.
1. 3/7 x 3/7 x 3/7 = 27/343 cubic inches
1/7 x 1/7 x 1/7 = 1/343 cubic inches
27/343 cubic inches divided by 1/343 cubic inches = 27 cubes.
2. 3/7 x 1/7 x 3/7 = 9/343 cubic inches
9/343 cubic inches divided into groups of 1/343 cubic inches is 9 cubes.
3. 2/6 x 2/6 x 2/6 = 8/216 cubic inches
8/216 cubic inches divided by 1/216 cubic inches is 8 cubes.
Another way to think of it would be for #1, each 3/7 of an inch would be 3 groups of 1/7, so 3 x 3 x 3 for each dimension would result in 27 cubes.
For #2, it would be 3 groups of 1/7, one group of 1/7 and another 3 groups of 1/7, so 3 x 3 is 9 cubes.
For #3 it would be 2 groups of 1/6 three times, so 2 x 2 x 2 = 8 cubes.
Step-by-step explanation:
Answer:
108 cm²
Step-by-step explanation:
Area of a rectangle, A = length, l × width, w
Perimeter of a rectangle = (2 × length) + (2 × width)
42 cm = 2l + 2w
<em>but</em><em> </em>length = w + 3cm
42 cm = 2(w + 3cm) + 2w
42 cm = 2w + 6cm + 2w
42 cm = 6cm + 4w
4w = (42 - 6) cm
4w = 36 cm
》w = 9cm
》l = w + 3cm = 9cm + 3cm
l = 12 cm
Area = 12 × 9 = 108 cm²
