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How much greater is the value of (-2 and 3/5)(-4 and 1/8) than the value of (3 and 3/4) / (1 and 1/5)?

a. 2 and 1/4
b. 2 and 1/8
c. 2 and 3/4
d. 2 and 3/8

User Mostafa
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1 Answer

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Final answer:

To find the value of (-2 and 3/5)(-4 and 1/8) and (3 and 3/4) / (1 and 1/5), convert the mixed numbers to improper fractions and perform the calculations. The value of (-2 and 3/5)(-4 and 1/8) is 429/40, and the value of (3 and 3/4) / (1 and 1/5) is 25/8. Subtracting the second expression value from the first expression value gives 229/40, which is approximately 2.225.

Step-by-step explanation:

To find the value of (-2 and 3/5)(-4 and 1/8) and (3 and 3/4) / (1 and 1/5), we need to convert the mixed numbers to improper fractions and then perform the calculations.

For the first expression, (-2 and 3/5)(-4 and 1/8), we have (-13/5)(-33/8). Multiplying these fractions gives us 429/40.

For the second expression, (3 and 3/4) / (1 and 1/5), we have (15/4) / (6/5). Dividing these fractions gives us 25/8.

To find how much greater the value of (-2 and 3/5)(-4 and 1/8) is than the value of (3 and 3/4) / (1 and 1/5), we subtract the second expression value from the first expression value: 429/40 - 25/8 = 429/40 - 5/1 = 429/40 - 200/40 = 229/40.

So, the answer is 2 and 9/40, which is approximately 2.225.

User Mark Brittingham
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