Answer:
The sum of a number, 3/8 of the number, and 5/16 of the number is 7 and 1/2.
The number is 4 4⁄9.
The other numbers are 1 ⅔ (⅜ of the number) and 1 7⁄18 (5⁄16 of the number).
Step-by-step explanation:
The problem is looking for the three numbers that when you add, the answer should be equal to 7½.
To find the numbers, we need to know first the value of the first number, then proceed to the next numbers.
Given:
Let x be the first number.
⅜ of x, second number
5⁄16 of x, third number
Solution:
Finding the First Number
x + ⅜x + 5⁄16x = 7½
(LCD = 16)
((16 + 6 +5) / 16) x = 7½
27⁄16x = 7½
27⁄16x ÷ 27⁄16 = 7½ ÷ 27⁄16
x = 15⁄2 ÷ 27⁄16
x = 15⁄2 × 16⁄27
x = 40⁄9 or 4 4⁄9
4 4⁄9 is the first number.
Finding the Second Number
⅜ of x
⅜ • 4 4⁄9
⅜ • 40⁄9
1 ⅔
1 ⅔ is the second number.
Finding the Third Number
5⁄16 of x
5⁄16 • 4 4⁄9
5⁄16 • 40⁄9
1 7⁄18
1 7⁄18 is the third number.
Checking:
4 4⁄9+1 ⅔+1 7⁄18
6((8+12+7) / 18)
6 27⁄18 or 7 9⁄18 or 7 ½ ✔
Always express the answer in lowest term.
For guides in operations of fractions, visit the links.
Addition and Subtraction:
brainly.ph/question/309047
Multiplication and Division
brainly.ph/question/1664299
#BrainlyFast
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
Answer:
The sum of a number, 3/8 of the number, and 5/16 of the number is 7 and 1/2.
The number is 4 4⁄9.
The other numbers are 1 ⅔ (⅜ of the number) and 1 7⁄18 (5⁄16 of the number).
Step-by-step explanation:
The problem is looking for the three numbers that when you add, the answer should be equal to 7½.
To find the numbers, we need to know first the value of the first number, then proceed to the next numbers.
Given:
Let x be the first number.
⅜ of x, second number
5⁄16 of x, third number
Solution:
Finding the First Number
x + ⅜x + 5⁄16x = 7½
(LCD = 16)
((16 + 6 +5) / 16) x = 7½
27⁄16x = 7½
27⁄16x ÷ 27⁄16 = 7½ ÷ 27⁄16
x = 15⁄2 ÷ 27⁄16
x = 15⁄2 × 16⁄27
x = 40⁄9 or 4 4⁄9
4 4⁄9 is the first number.
Finding the Second Number
⅜ of x
⅜ • 4 4⁄9
⅜ • 40⁄9
1 ⅔
1 ⅔ is the second number.
Finding the Third Number
5⁄16 of x
5⁄16 • 4 4⁄9
5⁄16 • 40⁄9
1 7⁄18
1 7⁄18 is the third number.
Checking:
4 4⁄9+1 ⅔+1 7⁄18
6((8+12+7) / 18)
6 27⁄18 or 7 9⁄18 or 7 ½ ✔
Always express the answer in lowest term.
For guides in operations of fractions, visit the links.
Addition and Subtraction:
brainly.ph/question/309047
Multiplication and Division
brainly.ph/question/1664299
#BrainlyFast