Question

17+10:(14 6/25×11 37/50)×10

Answer 1

Начинаем действия со скобок. Мне лучше решать в десятичных числах, поэтому я перевела))) 14,24*11,74= 167,1776
Далее,  если запишем в виде дроби, то 10 у нас сократятся. Т.к 10 будет и в числители, и в знаменателе.
И последнее действие, прибавляем к нашему числу 17: 167,1776+17= 184,1776

Answer 2

To solve the expression 17 + 10:(14 6/25 × 11 37/50) × 10, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Let's break down the expression step by step:

First, let's simplify the expression inside the parentheses: 14 6/25 × 11 37/50

To multiply mixed numbers, we convert them to improper fractions: 14 6/25 = (14 × 25 + 6)/25 = 356/25 11 37/50 = (11 × 50 + 37)/50 = 587/50

Now, we can multiply these two fractions: (356/25) × (587/50)

To multiply fractions, we multiply the numerators together and the denominators together: (356 × 587)/(25 × 50) = 209372/1250

Now, let's continue with the rest of the expression: 17 + 10:(209372/1250) × 10

To divide by a fraction, we multiply by its reciprocal: 10 ÷ (209372/1250) = 10 × (1250/209372) = 12500/209372

Now, we can rewrite the expression: 17 + (12500/209372) × 10

To multiply a fraction by a whole number, we multiply the numerator by the whole number: (12500/209372) × 10 = (12500 × 10)/209372 = 125000/209372

Now, let's add this to the 17: 17 + (125000/209372)

To add fractions, we need a common denominator: 17 = 17/1 (125000/209372) = (125000 × 1)/209372 = 125000/209372

To find the common denominator, we multiply the denominators together: 1 × 209372 = 209372

Now, we can rewrite the expression with a common denominator: (17/1) + (125000/209372)

To add fractions, we add the numerators together and keep the common denominator: (17 + 125000)/209372 = 125017/209372

Therefore, the final simplified value of the expression 17 + 10:(14 6/25 × 11 37/50) × 10 is 125017/209372.