Question

5 3/8+2,25×4-1 9/16×4= ...​

Answer 1

Ответ:

10,875

Пошаговое объяснение:

Answer 2

To solve the expression 5 3/8 + 2.25 × 4 - 1 9/16 × 4, we'll follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's break it down step by step:

Step 1: Perform multiplication and division from left to right. 2.25 × 4 = 9 1 9/16 × 4 = 1.5625 × 4 = 6.25

The expression now becomes: 5 3/8 + 9 - 6.25.

Step 2: Convert mixed numbers to improper fractions. 5 3/8 can be written as an improper fraction as follows: 5 × 8 + 3 = 40 + 3 = 43 43/8

The expression now becomes: 43/8 + 9 - 6.25.

Step 3: Perform addition and subtraction from left to right. 43/8 + 9 = (43 + 72)/8 = 115/8

The expression now becomes: 115/8 - 6.25.

Step 4: Convert the decimal number to a fraction. 6.25 can be written as a fraction by dividing the decimal part by 100: 6.25 = 6 25/100 = 6 1/4 = 25/4

The expression now becomes: 115/8 - 25/4.

Step 5: Find a common denominator and perform subtraction. The common denominator for 8 and 4 is 8, so we'll convert 25/4 to have a denominator of 8: 25/4 = 25/4 × 2/2 = 50/8

Now the expression is: 115/8 - 50/8.

Step 6: Subtract the fractions. 115/8 - 50/8 = (115 - 50)/8 = 65/8

Therefore, the simplified value of the expression is 65/8.