Question #22669

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Answer 1 · 2017-12-15T15:54:54

Here are two ways to solve this.

Method 1

Set up a proportion. For example, using grams of fiber to cups of oats, we could write:

#4:1/2 = f:3 1/2# Or, using fractions: #4/(1/2) = f/(3 1/2)#

Use the improper fraction #7/2# instead of the mixed number #3 1/2#.

#4/(1/2) = f/(7/2)#.

Now solve the proportion:

#4 * 7/2 = 1/2 * f#

#14 = 1/2 f#

#f = 28#

#28# grams of fiber.

Method 2

Notice that there are #7# half-cups in #3 1/2# cups.

Each half-cup of oats contains #4# grams of fiber, so #7# half-cups contain #7 * 4 = 28$ grams of fiber.

Answer 2 · 2017-12-15T16:00:50

28 grams of fiber.

Its given that 1/2 cup of oats has 4 grams fiber
So, 1 cup of oats will have = #4/(1/2)# = 8 grams of fiber,

Now, how much fiber in #3(1/2)# cups = ?

For the ease of calculate, convert #3(1/2)# to improper fraction and it would become #7/2#

Now, we know that 1 cup oats has = 8 grams fiber
Therefore, #7/2# cups of oats will have = #8xx7/2# = 28 grams