Question

17 3/4 - 9 1/32 + 4 3/8 - 5 3/16​

Answer 1

Ответ:

7 29/32

Пошаговое объяснение:

1) 17 3/4 - 9 1/32 = 17 24/32 - 9 1/32 = 8 23/32

2) 8 23/32 + 4 3/8 = 8 23/32 + 4 12/32 = 12 35/32

3) 12 35/32 - 5 3/16 = 12 35/32 - 5 6/32 = 7 29/32

Answer 2

To subtract mixed numbers, you can follow these steps:

1. Convert all the mixed numbers to improper fractions.
2. Perform the subtraction.
3. Simplify the result if necessary.

Let's do this for your expression:

1. Convert the mixed numbers to improper fractions:

   • 17 3/4 = (4 * 17) + 3 = 68/4 + 3 = 71/4
   • 9 1/32 = (32 * 9) + 1 = 288/32 + 1/32 = 289/32
   • 4 3/8 = (8 * 4) + 3 = 32/8 + 3 = 35/8
   • 5 3/16 = (16 * 5) + 3 = 80/16 + 3/16 = 83/16

2. Now, perform the subtraction: (71/4) - (289/32) + (35/8) - (83/16)

3. To add and subtract fractions, you need a common denominator. The least common denominator for 4, 32, 8, and 16 is 32. So, let's rewrite each fraction with a denominator of 32:

   • (71/4) = (71/4) * (8/8) = 568/32
   • (289/32) = 289/32
   • (35/8) = (35/8) * (4/4) = 140/32
   • (83/16) = (83/16) * (2/2) = 166/32

Now, we can perform the subtraction:

(568/32) - (289/32) + (140/32) - (166/32)

4. Combine the fractions:

   (568 - 289 + 140 - 166)/32

5. Perform the arithmetic:

   (353 - 325)/32 = 28/32

6. Simplify the fraction:

   28/32 = (28/4) / (32/4) = 7/8

So, the result of the expression is 7/8.