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Taya2010 [7]
3 years ago
5

Huong is cooking cupcakes. The recipe calls for three and five sixths cups of sugar. She accidentally puts in three and nine eig

hths cups. How many extra cups did she put in?
Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

She put 7/24 extra cups of sugar

Step-by-step explanation:

we know that

To find out how many extra cups did she put in, subtract three and five sixths cups of sugar from three and nine eighths cups of sugar.

so

3\frac{9}{8}-3\frac{5}{6}

Convert mixed number to an improper fraction

3\frac{9}{8}\ cups=\frac{3*8+9}{8}=\frac{33}{8}\ cups

3\frac{5}{6}\ cups=\frac{3*6+5}{6}=\frac{23}{6}\ cups

The LCM between 8 and 6 is 24

substitute the values

\frac{33}{8}-\frac{23}{6}=\frac{33*3-23*4}{24}=\frac{7}{24}\ cups

therefore

She put 7/24 extra cups of sugar

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5x + 2x....subbing in 1                               7x - 1....subbing in 1

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5x + 2x...subbing in 2                                 7x - 1...subbing in 2

5(2) + 2(2) = 10 + 4 = 14                            7(2) - 1 = 14 - 1 = 13

5x + 2x...subbing in 3                                 7x - 1...subbing in 3

5(3) + 2(3) = 15 + 6 = 21                            7(3) - 1 = 21 - 1 = 20

5x + 2x...subbing in 4                                 7x - 1....subbing in 4

5(4) + 2(4) = 20 + 8 = 28                            7(4) - 1 = 28 - 1 = 27

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5(5) + 2(5) = 25 + 10 = 35                          7(5) - 1 = 35 - 1 = 34

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Step-by-step explanation:

5 0
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