Question

7:25+1/3:5/24-22/25 ___________________=(4.5+2/5):7/20

Answer 1

7:25+1/3:5/24-22/25=7/25+8/5-22/25=1

4,5+2/5):7/20=(45/10+2/5):7/20=49/10:7/20=14

 

 

овет:1/14

Answer 2

To solve the given expression, let's break it down step by step:

The expression is: 7:25 + 1/3 : 5/24 - 22/25 + ___________________ = (4.5 + 2/5) : 7/20

Step 1: Simplify the expression on the right-hand side (RHS) (4.5 + 2/5) : 7/20 = (9/2 + 2/5) : 7/20 To add the fractions, we need a common denominator. The common denominator for 2/5 and 20 is 20. So, we can rewrite the expression as: (9/2 * 10/10 + 2/5 * 4/4) : 7/20 = (90/20 + 8/20) : 7/20 = (98/20) : 7/20 = 98/20 * 20/7 = 7/1

Therefore, the RHS simplifies to 7/1.

Step 2: Simplify the expression on the left-hand side (LHS) To simplify the LHS, we need to perform the operations in order of operations (PEMDAS/BODMAS).

7:25: We'll interpret ":" as division. 7 divided by 25 = 0.28

1/3:5/24: First, simplify the division on the right-hand side (RHS). 5/24 = 5 divided by 24 = 0.2083

Now, divide 1/3 by 0.2083: 1/3 divided by 0.2083 = 0.2083 / (1/3) = 0.2083 * (3/1) = 0.625

So, 1/3:5/24 simplifies to 0.625.

Now, let's substitute the simplified values back into the original expression:

0.28 + 0.625 - 22/25 + ___________________ = 7/1

Step 3: Solve for the missing value To find the missing value, we can subtract the sum of the known values from both sides of the equation:

0.28 + 0.625 - 22/25 + ___________________ - (0.28 + 0.625 - 22/25) = 7/1 - (0.28 + 0.625 - 22/25)

Simplifying the left-hand side: 0.28 + 0.625 - 22/25 + ___________________ - 0.28 - 0.625 + 22/25 = 7/1 - 0.28 - 0.625 + 22/25

Combining like terms: -22/25 + ___________________ = 7/1 - 0.28 - 0.625 + 22/25

Now, let's simplify the right-hand side: 7/1 - 0.28 - 0.625 + 22/25 = 7 - 0.28 - 0.625 + 0.88 = 6.095

Therefore, the equation becomes: -22/25 + ___________________ = 6.095

To find the missing value, we can subtract -22/25 from both sides of the equation:

-22/25 + ___________________ - (-22/25) = 6.095 - (-22/25)

Simplifying the left-hand side: -22/25 + ___________________ + 22/25 = 6.095 - (-22/25)

Cancelling out the -22/25 terms: ___________________ = 6.095 - (-22/25)

Simplifying the right-hand side: 6.095 - (-22/25) = 6.095 + 22/25

To add the fractions, we need a common denominator. The common denominator for 25 and 25 is 25. So, we can rewrite the expression as: 6.095 * 25/25 + 22/25 = 152.375/25 + 22/25 = (152.375 + 22)/25 = 174.375/25

Therefore, the missing value is 174.375/25.

Please note that I have assumed ":" to be the division operator, and the missing value is represented by the underscore "___________________".