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What number should be added to 15/16 so that we get the rational number 77/48 ?
- a)-7/3
- b)1/3
- c)5/3
- d)2/3
Correct answer is option 'D'. Can you explain this answer?
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What number should be added to 15/16 so that we get the rational numbe...
To find the number that should be added to 15/16 to get the rational number 77/48, we can set up the equation:
(15/16) + x = 77/48
where x is the number we need to find.
To solve this equation, we can follow these steps:
Step 1: Find a common denominator for the fractions on both sides of the equation. In this case, the common denominator is 48.
Step 2: Rewrite the fractions with the common denominator:
(15/16) + x = (77/48)
Step 3: Multiply both sides of the equation by the common denominator to eliminate the fractions:
48 * (15/16) + 48 * x = 48 * (77/48)
Step 4: Simplify both sides of the equation:
45 + 48x = 77
Step 5: Subtract 45 from both sides of the equation:
48x = 77 - 45
48x = 32
Step 6: Divide both sides of the equation by 48 to solve for x:
x = 32/48
x = 2/3
Therefore, the number that should be added to 15/16 to get the rational number 77/48 is 2/3.
(15/16) + x = 77/48
where x is the number we need to find.
To solve this equation, we can follow these steps:
Step 1: Find a common denominator for the fractions on both sides of the equation. In this case, the common denominator is 48.
Step 2: Rewrite the fractions with the common denominator:
(15/16) + x = (77/48)
Step 3: Multiply both sides of the equation by the common denominator to eliminate the fractions:
48 * (15/16) + 48 * x = 48 * (77/48)
Step 4: Simplify both sides of the equation:
45 + 48x = 77
Step 5: Subtract 45 from both sides of the equation:
48x = 77 - 45
48x = 32
Step 6: Divide both sides of the equation by 48 to solve for x:
x = 32/48
x = 2/3
Therefore, the number that should be added to 15/16 to get the rational number 77/48 is 2/3.
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What number should be added to 15/16 so that we get the rational numbe...
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