3/4 +3/20 / 2/5 * 7/8 -1

What does 3/20/2/5 mean?

(3/20) / (2/5) ?
That would be (3/20)*(5/2) = 15/40 =3/8

7/8 of that = 21/64

Add 3/4 and subtract 1

Thank you, I came up with 5/64

To solve this expression, we need to follow the order of operations, which is often remembered using the acronym PEMDAS:

1. Parentheses (simplify expressions inside parentheses)
2. Exponents (perform any exponentiation)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's solve the expression step by step:

Step 1: There are no parentheses or exponents, so we move on to multiplication and division.

Step 2: Start with the division - 3/4 + 3/20 will be divided by 2/5. When dividing fractions, we multiply the first fraction by the reciprocal of the second. So, we have (3/4 + 3/20) * (5/2).

Step 3: Simplify the first part of the expression, (3/4 + 3/20):

To add fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 20 is 20. Therefore, we can rewrite the expression as (15/20 + 3/20).

Now, we can combine the numerators over the common denominator: 15/20 + 3/20 = 18/20.

So, the expression becomes (18/20) * (5/2).

Step 4: Multiply 18/20 by 5/2 using the multiplication rule for fractions. Multiply the numerators and denominators: (18*5)/(20*2) = 90/40.

Step 5: Simplify the fraction 90/40:

The greatest common divisor (GCD) of 90 and 40 is 10. Divide both the numerator and denominator by 10: (90/10)/(40/10) = 9/4.

Step 6: Now, we move on to the subtraction part of the expression, subtracting 1 from 9/4.

To perform this subtraction, we need a common denominator. Multiply the numerator and denominator of 1 by 4 to get the common denominator: (9/4) - (1*4/4) = 9/4 - 4/4 = 5/4.

Therefore, the final answer is 5/4.