(a) $$ 4.7-7.8 imes 0.3: 1.36 $$ (o) $$ -3.48+(7.36+1.24) imes 0.6=1 $$ (e) $$ -2.65-\frac{1.44}{-1.2}+3.22=1.77 $$

Question

(a) $$ 4.7-7.8 	imes 0.3: 1.36 $$ (o) $$ -3.48+(7.36+1.24) 	imes 0.6=1 $$ (e) $$ -2.65-\frac{1.44}{-1.2}+3.22=1.77 $$

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$-3.48+\left(7.36+1.24\right)\times 0.6$$
- step1: Add the numbers:
  $$-3.48+8.6\times 0.6$$
- step2: Multiply the numbers:
  $$-3.48+5.16$$
- step3: Add the numbers:
  $$1.68$$
Calculate or simplify the expression $$ 4.7-7.8*0.3/1.36 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$4.7-\frac{7.8\times 0.3}{1.36}$$
- step1: Multiply the numbers:
  $$4.7-\frac{2.34}{1.36}$$
- step2: Divide the terms:
  $$4.7-\frac{117}{68}$$
- step3: Convert the expressions:
  $$\frac{47}{10}-\frac{117}{68}$$
- step4: Reduce fractions to a common denominator:
  $$\frac{47\times 34}{10\times 34}-\frac{117\times 5}{68\times 5}$$
- step5: Multiply the numbers:
  $$\frac{47\times 34}{340}-\frac{117\times 5}{68\times 5}$$
- step6: Multiply the numbers:
  $$\frac{47\times 34}{340}-\frac{117\times 5}{340}$$
- step7: Transform the expression:
  $$\frac{47\times 34-117\times 5}{340}$$
- step8: Multiply the numbers:
  $$\frac{1598-117\times 5}{340}$$
- step9: Multiply the numbers:
  $$\frac{1598-585}{340}$$
- step10: Subtract the numbers:
  $$\frac{1013}{340}$$
Calculate or simplify the expression $$ -2.65-1.44/-1.2+3.22 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$-2.65-\frac{1.44}{\left(-1.2\right)}+3.22$$
- step1: Remove the parentheses:
  $$-2.65-\frac{1.44}{-1.2}+3.22$$
- step2: Use the rules for multiplication and division:
  $$-2.65+\frac{1.44}{1.2}+3.22$$
- step3: Divide the terms:
  $$-2.65+\frac{6}{5}+3.22$$
- step4: Add the numbers:
  $$0.57+\frac{6}{5}$$
- step5: Convert the expressions:
  $$\frac{57}{100}+\frac{6}{5}$$
- step6: Reduce fractions to a common denominator:
  $$\frac{57}{100}+\frac{6\times 20}{5\times 20}$$
- step7: Multiply the numbers:
  $$\frac{57}{100}+\frac{6\times 20}{100}$$
- step8: Transform the expression:
  $$\frac{57+6\times 20}{100}$$
- step9: Multiply the numbers:
  $$\frac{57+120}{100}$$
- step10: Add the numbers:
  $$\frac{177}{100}$$
Let's solve each expression step by step.

### (a) $$ 4.7 - 7.8 \times 0.3 : 1.36 $$

1. **Calculate $$ 7.8 \times 0.3 $$**:
   $$
   7.8 \times 0.3 = 2.34
   $$

2. **Now divide by $$ 1.36 $$**:
   $$
   \frac{2.34}{1.36} \approx 1.720588
   $$

3. **Finally, subtract from $$ 4.7 $$**:
   $$
   4.7 - 1.720588 \approx 2.979412
   $$

So, the result for (a) is approximately $$ 2.979412 $$.

### (o) $$ -3.48 + (7.36 + 1.24) \times 0.6 = 1 $$

1. **Calculate $$ 7.36 + 1.24 $$**:
   $$
   7.36 + 1.24 = 8.6
   $$

2. **Now multiply by $$ 0.6 $$**:
   $$
   8.6 \times 0.6 = 5.16
   $$

3. **Finally, add to $$ -3.48 $$**:
   $$
   -3.48 + 5.16 = 1.68
   $$

So, the result for (o) is $$ 1.68 $$.

### (e) $$ -2.65 - \frac{1.44}{-1.2} + 3.22 = 1.77 $$

1. **Calculate $$ \frac{1.44}{-1.2} $$**:
   $$
   \frac{1.44}{-1.2} = -1.2
   $$

2. **Now substitute back into the expression**:
   $$
   -2.65 - (-1.2) + 3.22
   $$

3. **This simplifies to**:
   $$
   -2.65 + 1.2 + 3.22
   $$

4. **Calculate step by step**:
   - First, $$ -2.65 + 1.2 = -1.45 $$
   - Then, $$ -1.45 + 3.22 = 1.77 $$

So, the result for (e) is $$ 1.77 $$.

### Summary of Results:
- (a) $$ \approx 2.979412 $$
- (o) $$ 1.68 $$
- (e) $$ 1.77 $$
- (a) ≈ 2.98 - (o) = 1.68 - (e) = 1.77

(a) \( 4.7-7.8 \times 0.3: 1.36 \) (o) \( -3.48+(7.36+1.24) \times 0.6=1 \) (e) \( -2.65-\frac{1.44}{-1.2}+3.22=1.77 \)

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