Sasha, Rudy, and Mario each have #1 3/4# cups of flour. Can they make a recipe for bread that needs 5 cups of flour?

Question

Abigail Allen · Accepted Answer

#"yes"# #"calculate the total amount of flour they have"# #rArr3xx1 3/4# #"change "1 3/4" to an "color(blue)"improper fraction"# #=3/1xx7/4=(7xx3)/(1xx4)=21/4=5 1/4# #"they have the required 5 cups with "1/4" left over"#

Kennedy Adams · Answer

Yes there is enough flour to make the bread.

Over the top explanation given so you can see where everything comes from.

#color(blue)("Three very important facts")# #color(brown)("Fact 1: ")# A structure of a fraction consists of #color(white)("bbbbbb.")("count")/("size indicator of what you are counting")# #color(white)("ccccccccccc")("count")/("size indicator")->("numerator")/("denominator")# .............................................................. #color(brown)("Fact 2: ")# You can not #ul("directly compare")# counts (numerators) unless the size indicators (denominators) are the same. ................................................................. #color(brown)("Fact 3: ")# Multiply by 1 and you do not change the 'true' value of a fraction or number. However, 1 comes in many forms so you can change the way a fraction looks without changing its value. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Answering the question")# I chose to make the size indicator such that we are counting quarters. Converting 5 into quarters: #color(green)(5color(red)(xx1)color(white)("cccc") ->color(white)("c"vvvv) 5color(red)(xx4/4) = 20/4)# Converting #1 3/4# into all quarters: #color(green)(1 3/4color(white)("cccc")->color(white)("cccc") [1color(red)(xx1)]+3/4)# #color(green)(color(white)("ccccccc")->color(white)("cccc")[1color(red)(xx4/4)] + 3/4 = 7/4)# So the total of all the #1 3/4# cups is #3xx7/4 = 21/4# cups The amount needed to make the bread is #5 =20/4# cups As 21 is more than 20 then yes, there is enough to make the bread

Nathan Axel · Answer

undefined Yes, they can make the recipe for bread. Sasha, Rudy, and Mario each have $1 \frac{3}{4}$ cups of flour, so together they have $3 \times 1 \frac{3}{4}$ cups of flour.

First, convert $1 \frac{3}{4}$ to an improper fraction:

$$1 \frac{3}{4} = \frac{7}{4}$$

Then, multiply by 3 (since there are three of them):

$$\frac{7}{4} \times 3 = \frac{21}{4} = 5\frac{1}{4}$$

Thus, together they have $5\frac{1}{4}$ cups of flour, which is more than the 5 cups required for the recipe.