Question

1 17/18*7/9+14/25*5/7​

Answer 1

Ответ:

5 целых 1/18

Пошаговое объяснение:

117/18*7/9+14/25*5/7 сокращаем

13/18*7+2/5=13*7/18+2/5= 91/18+2/5=(91*5+2*18)/90=(455+36)/90=491/90= 5 целых 5/90= 5 целых 1/18

Answer 2

To solve the expression 1 17/18 * 7/9 + 14/25 * 5/7, follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Step 1: Convert the mixed number 1 17/18 into an improper fraction. 1 17/18 = (18 * 1 + 17) / 18 = 35/18

Step 2: Multiply the fractions within each set of parentheses. 35/18 * 7/9 = (35 * 7) / (18 * 9) = 245/162

14/25 * 5/7 = (14 * 5) / (25 * 7) = 70/175

Step 3: Add the results of the multiplications. 245/162 + 70/175

To add fractions, we need a common denominator. The least common multiple (LCM) of 162 and 175 is 5670.

Step 4: Rewrite the fractions with the common denominator. 245/162 = (245 * 35) / (162 * 35) = 8575/5670

70/175 = (70 * 32) / (175 * 32) = 2240/5670

Step 5: Add the fractions. 8575/5670 + 2240/5670 = (8575 + 2240) / 5670 = 10815/5670

Step 6: Simplify the fraction if possible. Both the numerator and denominator have a common factor of 45. 10815/5670 = (10815/45) / (5670/45) = 241/126

Therefore, 1 17/18 * 7/9 + 14/25 * 5/7 equals 241/126.