I was wondering if someone could help guide me with this problem.. math is my worst subject... I would appreciate it definately, thank you..
3 1/5 divided by 7/8 x 2/3=
I think I am making it too hard on myself... my first step would be to change the mixed into an improper which is 16/5
and the second step would be to find the common denominator is this correct? and if so what do I do since I cannot find the LCD of 5,8, and 3?
(16/5) / (7/8) * (2/3)
(5/16) * (7/8) * (2/3)
i multiplied the by 3,6, and 16.
15/48 * 42/48 * 32/48= 20,160/48 reduce it to--> 420/1.
----------or----------------------
(16/5) / (7/8) * (2/3)
(16/5) * (8/7) * (2/3)
i multiplied by 21, 15, and 35.
336/105 * 120/105 * 70/105
P.S. i know that when there is Dividing i knoe that we have to change that division into multiplication, and when changing the multipllication we have to rotate one of the fraction. Im just not sure if we rotate the first one or the second one, so i did it for both. I hope this answers your questions!!!:)
[3 1/5 divided by 7/8] x 2/3
= 16/5 * 8/7* 2/3 = 256/105
No problem! Let's break it down step by step.
First, you're correct that it's a good idea to convert the mixed number 3 1/5 into an improper fraction. To do this, multiply the whole number (3) by the denominator (5) and add the numerator (1). This gives you 3 x 5 + 1 = 16. So, 3 1/5 can be written as the improper fraction 16/5.
Next, let's look at the expression 3 1/5 divided by 7/8 multiplied by 2/3. It's important to remember that when you have multiple operations (like division and multiplication) in a math problem, you need to follow a specific order of operations.
Multiplication and division have the same priority, so we do them from left to right. Let's rewrite the expression, making that clear:
(16/5) ÷ (7/8) × (2/3)
Now, let's focus on the division part first. To divide fractions, you take the reciprocal of the second fraction (in this case, 7/8) and change the division to multiplication:
(16/5) × (8/7) × (2/3)
Next, we multiply the fractions together. Multiply the numerators (the numbers on the top) and multiply the denominators (the numbers on the bottom):
(16 × 8) / (5 × 7) × (2/3)
Simplifying, we get:
128 / 35 × (2/3)
Now, multiplying the whole numbers 128 and 2 gives 256:
256 / 35 × (1/3)
Now, let's simplify further. Notice that we can divide both the numerator (256) and the denominator (35) by their greatest common divisor, which is 1, in this case. So we have:
256 / 35 ÷ 3
To divide by a whole number, we can multiply by its reciprocal. So, we can rewrite the expression as:
256 / 35 × (1/3)
Now, multiply the fractions together:
256 / (35 × 3)
Simplifying further:
256 / 105
So, the final answer is 256/105.
Remember, taking it step by step and following the order of operations will help you solve math problems more easily.