a recipe uses 5/8 cup of vegetable oil and 2 cups of water. Write the ratio of vegetable oil to water. Then find the value of the ratio. Simplify the complex fraction.
To write the ratio of vegetable oil to water, we can simply state it as:
5/8 : 2
To find the value of this ratio, we can simplify it by dividing both the numerator and denominator of the vegetable oil fraction by their greatest common divisor (GCD), which in this case is 1:
(5 ÷ 1) / (8 ÷ 1) : 2
This simplifies to:
5/8 : 2
Finally, to simplify the complex fraction, we can multiply the numerator and denominator of the water fraction by the denominator of the vegetable oil fraction, which is 8:
(5/8) : (2/1)
This simplifies to:
(5/8) x (1/2)
The simplified complex fraction is:
5/16
oil : water = (5/8)cups : 2 cups
since the units are the same, we can say:
oil : water = 5/8 : 2
= 5 : 16 or 1 : 3.2
take your pick
the last one tells me to use 3.2 cups of water for each cup of oil.
To write the ratio of vegetable oil to water, we can simply express it as the fraction of vegetable oil to the fraction of water. So, the ratio of vegetable oil to water is 5/8 : 2/1.
To find the value of the ratio, we need to simplify it by multiplying both the numerator and denominator of each fraction by the same number. In this case, we can multiply the numerator and denominator of the first fraction by 2 to get:
(5/8) * (2/2) : 2/1
Simplifying further:
10/16 : 2/1
Now, let's convert the second fraction to have the same denominator as the first fraction by multiplying the numerator and denominator by 16:
10/16 : (2/1) * (16/16)
10/16 : 32/16
The denominator is the same for both fractions, so we can directly compare the numerators:
10 : 32
Now, to simplify the complex fraction, we divide both the numerator and denominator by their greatest common divisor, which is 2 in this case:
10/2 : 32/2
5 : 16
Therefore, the simplified complex fraction is 5:16.