$$ 12.75 - 24.38 - ( 2.4 imes 4.32 \div 3.6 = 0.85 ) $$

Question

$$ 12.75 - 24.38 - ( 2.4 	imes 4.32 \div 3.6 = 0.85 ) $$

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$12.75-24.38-\left(\frac{2.4\times 4.32}{3.6}\right)$$
- step1: Multiply the numbers:
  $$12.75-24.38-\left(\frac{10.368}{3.6}\right)$$
- step2: Divide the terms:
  $$12.75-24.38-\frac{72}{25}$$
- step3: Subtract the numbers:
  $$-11.63-\frac{72}{25}$$
- step4: Convert the expressions:
  $$-\frac{1163}{100}-\frac{72}{25}$$
- step5: Reduce fractions to a common denominator:
  $$-\frac{1163}{100}-\frac{72\times 4}{25\times 4}$$
- step6: Multiply the numbers:
  $$-\frac{1163}{100}-\frac{72\times 4}{100}$$
- step7: Transform the expression:
  $$\frac{-1163-72\times 4}{100}$$
- step8: Multiply the numbers:
  $$\frac{-1163-288}{100}$$
- step9: Subtract the numbers:
  $$\frac{-1451}{100}$$
- step10: Rewrite the fraction:
  $$-\frac{1451}{100}$$
To solve the expression $$ 12.75 - 24.38 - ( 2.4 \times 4.32 \div 3.6 ) $$, we can break it down step by step.

1. **Calculate the multiplication and division inside the parentheses:**
   $$
   2.4 \times 4.32 = 10.368
   $$
   Then divide by $$ 3.6 $$:
   $$
   10.368 \div 3.6 = 2.88
   $$

2. **Substitute this value back into the expression:**
   $$
   12.75 - 24.38 - 2.88
   $$

3. **Now, perform the subtraction step by step:**
   - First, calculate $$ 12.75 - 24.38 $$:
   $$
   12.75 - 24.38 = -11.63
   $$
   - Then subtract $$ 2.88 $$:
   $$
   -11.63 - 2.88 = -14.51
   $$

Thus, the final result of the expression is:
$$
\boxed{-14.51}
$$
The final result is -14.51.

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Arithmetic Questions