Question

(35 17/24 - 7 5/16) - 12 5/8 = (23 -15 9/14) - (12 1/7 - 8 2/5) =

Answer 1

Выполним действия с целыми частями смешанных дробей и с их дробными частями по отдельности, предварительно приведя дроби к общему знаменателю 48. 35 17/24 - 7 5/16 - 12 5/8 = (35 - 7 - 12) + (17/24 - 5/16 - 5/8) = 16 + (17 * 2 - 5 * 3 - 5 * 6)/48 16 + (34 - 15 - 30)/48 = 16 + (- 11)/48 = 15 + (48 - 11)/48 = 15 37/48 Ответ: 15 37/48. – материал взят с сайта

Answer 2

To solve this problem, let's break it down step by step:

1. Start with the first expression: (35 17/24 - 7 5/16) - 12 5/8

   First, subtract the whole numbers: 35 - 7 = 28

   Next, subtract the fractions separately. To do this, find a common denominator, which is 24 in this case: (17/24 - 5/16)

   To find a common denominator, we can multiply the numerator and denominator of the first fraction (17/24) by 2 to make it 32/48: (32/48 - 5/16)

   Now, subtract the fractions: (32/48 - 5/16) = (32/48 - 15/48) = 17/48

   So, the expression becomes: 28 17/48 - 12 5/8

2. Subtract the whole numbers again: 28 - 12 = 16

   Now, subtract the fractions separately. Find a common denominator, which is 48 in this case: (17/48 - 5/8)

   To make the second fraction have a denominator of 48, we can multiply both the numerator and denominator by 6: (17/48 - 30/48)

   Now, subtract the fractions: (17/48 - 30/48) = (-13/48)

   So, the expression becomes: 16 - 13/48

3. Now, subtract the remaining fraction from the whole number: 16 - 13/48

   To subtract a fraction from a whole number, convert the whole number to a fraction with the same denominator (48 in this case): 16 = 16/1

   Now subtract the fractions: (16/1 - 13/48)

   To find a common denominator, multiply the numerator and denominator of the first fraction (16/1) by 48 to make it 768/48: (768/48 - 13/48)

   Now, subtract the fractions: (768/48 - 13/48) = (755/48)

So, the final result is: 755/48

You can leave it in this fractional form or convert it to a mixed number or decimal if needed.