answer:
To simplify the expression 2/3 x 2/4 x 3/5 - 0.67 - 3.4 - 5.6, let's break it down into smaller steps:
Step 1: Simplify the multiplication of the fractions.
- Multiply the numerators: 2 x 2 x 3 = 12.
- Multiply the denominators: 3 x 4 x 5 = 60.
- The result of the multiplication is 12/60, which can be simplified further.
Step 2: Simplify the fraction 12/60.
- Divide both the numerator and the denominator by their greatest common divisor, which is 12.
- 12 divided by 12 is 1, and 60 divided by 12 is 5.
- Therefore, 12/60 simplifies to 1/5.
Step 3: Subtract the decimals.
- Subtracting the decimals, we get:
- 0.67 - 3.4 - 5.6 = -9.67.
Step 4: Combine the fraction and the decimal.
- To combine the fraction 1/5 with the decimal -9.67, we need to find a common denominator.
- The common denominator is 5, so we need to multiply -9.67 by 5/5 to get a fraction with a denominator of 5.
- Multiplying -9.67 by 5/5, we get -48.35/5.
Step 5: Add the fraction and the decimal.
- Adding the fraction 1/5 to the decimal -48.35/5, we get:
- 1/5 + (-48.35/5) = -47.35/5.
Therefore, the simplified expression is -47.35/5.
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