-5×1/4×-3/5÷9/12
To solve this expression, we can follow the order of operations (PEMDAS) and simplify step by step.
-5 × (1/4) × (-3/5) ÷ (9/12)
First, let's simplify the multiplication and division from left to right:
-5 × (1/4) = -5/4
-5/4 × (-3/5) = 15/20
Next, let's simplify the division:
15/20 ÷ (9/12)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
15/20 × (12/9)
Now, let's simplify:
15/20 × (12/9) = 180/180
Finally, let's reduce the fraction:
180/180 = 1
Therefore, -5 × 1/4 × -3/5 ÷ 9/12 simplifies to 1.
To solve the expression -5×1/4×-3/5÷9/12 step-by-step, follow the order of operations (PEMDAS/BODMAS).
Step 1: Simplify multiplication and division from left to right.
-5 × 1/4 × -3/5 ÷ 9/12
Step 2: Start with the multiplication: -5 × 1/4 = -5/4
-5/4 × -3/5 ÷ 9/12
Step 3: Next, divide -5/4 by 9/12:
-5/4 ÷ 9/12 = -5/4 × 12/9
Step 4: Simplify the fraction -5/4 × 12/9 by canceling out common factors:
-5/4 × 12/9 = (-5 × 12) / (4 × 9) = -60/36
Step 5: Simplify the fraction -60/36 by dividing both the numerator and denominator by their greatest common divisor, which is 12:
-60/36 = -5/3
Therefore, the answer is -5/3.
To solve the expression -5 × 1/4 × -3/5 ÷ 9/12, you need to follow the order of operations, which is often referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Step 1: Simplify inside the parentheses (if any). In this case, there are no parentheses, so we can move to the next step.
Step 2: Evaluate any exponents (if any). There are no exponents, so we proceed further.
Step 3: Perform multiplication and division from left to right.
First, let's multiply -5 by 1/4. The product of -5 and 1/4 is -5/4.
Next, multiply -5/4 by -3/5. To find the product, multiply the numerators (the top numbers) together: -5 × -3 = 15. Then multiply the denominators (the bottom numbers) together: 4 × 5 = 20. So the result of -5/4 × -3/5 is 15/20.
Now we have 15/20 ÷ 9/12 left to solve. Division is the same as multiplying by the reciprocal. So, we can rewrite 9/12 as 12/9, which is the reciprocal of 9/12.
Now, let's multiply 15/20 by 12/9. Multiply the numerators: 15 × 12 = 180. Multiply the denominators: 20 × 9 = 180. Hence, the result is 180/180.
Step 4: Simplify the result. The fraction 180/180 can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 180. Dividing 180/180 by 180 yields 1/1.
Therefore, the final answer to the expression -5 × 1/4 × -3/5 ÷ 9/12 is 1 (or 1/1).