What is -3/4×5/16×7/12÷-3/16×-5/7
To solve this expression, you can follow the order of operations (PEMDAS/BODMAS) which states that you should perform any calculations within parentheses, then exponents, then multiplication and division (from left to right), and finally addition and subtraction (from left to right).
Using this order, let's break down and solve the expression step by step:
-3/4 × 5/16 × 7/12 ÷ -3/16 × -5/7
Multiply the fractions from left to right:
(-3/4) × (5/16) = -15/64
Multiply this result by the next fraction:
(-15/64) × (7/12) = -105/768
Divide this result by the next fraction:
(-105/768) ÷ (-3/16) = (-105/768) × (-16/3) = 1280/256 = 5
Finally, multiply this result by the last fraction:
5 × (-5/7) = -25/7
Therefore, the value of the expression -3/4 × 5/16 × 7/12 ÷ -3/16 × -5/7 is -25/7.
To solve this expression step by step, follow these steps:
Step 1: Multiply the fractions -3/4 and 5/16:
-3/4 × 5/16 = (-3 × 5) / (4 × 16) = -15/64
Step 2: Multiply the result from Step 1 by the fraction 7/12:
(-15/64) × 7/12 = (-15 × 7) / (64 × 12) = -105/768
Step 3: Divide the result from Step 2 by the fraction -3/16:
(-105/768) ÷ (-3/16) = (-105/768) × (-16/3) = (105 × 16) / (768 × 3) = 1680/2304
Step 4: Multiply the result from Step 3 by the fraction -5/7:
(1680/2304) × (-5/7) = (1680 × -5) / (2304 × 7) = -8400/16128
Therefore, the expression -3/4 × 5/16 × 7/12 ÷ -3/16 × -5/7 simplifies to -8400/16128.
To solve the expression -3/4 × 5/16 × 7/12 ÷ -3/16 × -5/7, we need to follow the order of operations (also known as PEMDAS or BODMAS).
Let's break it down step by step:
Step 1: Simplify each fraction
-3/4 × 5/16 × 7/12 ÷ -3/16 × -5/7
Step 2: Multiply or divide the fractions following the order from left to right
-3/4 × 5/16 × 7/12 ÷ -3/16 × -5/7
Multiply:
=(-3/4 × 5/16 × 7/12)
Step 3: Multiply the numerators together and the denominators together
=(-3 × 5 × 7) / (4 × 16 × 12)
Step 4: Simplify the numerator and denominator
=(-105) / (768)
Step 5: Divide the numerator by the denominator
=(-105) ÷ (768)
Now, you can use a calculator or simplify it further if needed.