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Answer:
10/27 cups
Step-by-step explanation:
y = how much flour is needed
set up proportion of water to flour equals water to flour
[tex]\frac{3/5}{2/3}[/tex] = [tex]\frac{1/3}{y}[/tex]
cross-multiply: 3/5 y = 2/9
multiply each side by the reciprocal of 3/5
5/3 · (3/5)y = 2/9 · (5/3)
y = 10/27
Answer: 10/27 cups flour.
Step-by-step explanation:
Compare fractions 3/5 and 1/3:
[tex]\dfrac{3}{5}=\dfrac{3 \times 3}{5 \times 3} =\dfrac{9}{15} \\\\ \dfrac{1}{3}=\dfrac{1 \times 5}{3 \times 5} =\dfrac{3}{15}\\\\\dfrac{3}{15} < \dfrac{9}{15}[/tex]
1/3 is less than 3/5 because 3/15 is less than 9/15.
Find how many times 1/3 is less than 3/5:
[tex]\dfrac{3}{5} \div \dfrac{1}{3} =\dfrac{3}{5} \times \dfrac{3}{1}=\dfrac{9}{5}[/tex]
This means that flour should also be taken 9/5 times less:
[tex]\dfrac{2}{3} \div \dfrac{9}{5} =\dfrac{2}{3} \times \dfrac{5}{9} =\dfrac{10}{27}[/tex]