What should be subtracted from $\frac{-5}{6}$ to get $ 1 $? | Mathematics MCQ

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MathematicsPrevious Year Paper 2024

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What should be subtracted from $\frac{-5}{6}$ to get $1$ ?

$\frac{7}{6}$

$\frac{-7}{6}$

$\frac{-1}{6}$

$\frac{-11}{6}$

Correct Answer

📐 MA • Math Direct FormulaMathematicsPrevious Year Paper 2024

Option D

$\frac{-11}{6}$

Quick Summary:

Translate the phrase 'subtracted from' directly: '(-5/6) - x = 1'. Rearrange to solve for x: x = (-5/6) - 1.

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📐MAMath SolutionDirect Formula

📋 Given

Original fraction = -5/6, target result = 1

🔢 Formula Used

x−y=z  ⟹  −56−x=1x - y = z \implies \frac{-5}{6} - x = 1x−y=z⟹6−5​−x=1

⚡ Exam Hall Shortcut / Speed Trick

Translate the phrase 'subtracted from' directly: '(-5/6) - x = 1'. Rearrange to solve for x: x = (-5/6) - 1.

⚠️ Common Student Trap / Pitfall

Students often swap the order to 'x - (-5/6) = 1', which is incorrect. The question specifies subtracting something FROM (-5/6).

🔢 Step-by-Step Solution

Set up the equation

Let the number to be subtracted be $x$ . According to the problem, subtracting $x$ from $\frac{-5}{6}$ equals $1$ .

−56−x=1\frac{-5}{6} - x = 16−5​−x=1

Solve for x

Isolate $x$ by rearranging the terms in the equation.

x=−56−1x = \frac{-5}{6} - 1x=6−5​−1

Calculate the final value

Convert $1$ to a fraction with a denominator of $6$ (i.e., $\frac{6}{6}$ ) and perform the subtraction.

x=−56−66=−5−66=−116x = \frac{-5}{6} - \frac{6}{6} = \frac{-5 - 6}{6} = \frac{-11}{6}x=6−5​−66​=6−5−6​=6−11​

✅

D is correct because subtracting -11/6 from -5/6 gives (-5/6) - (-11/6) = (-5 + 11) / 6 = 6 / 6 = 1.

Core Concepts Used

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Subtraction of fractions Algebraic equation setup Negative number arithmetic

💡 EXAM TIP

This concept of 'difference from a value' is fundamental in number system questions and helps in understanding the additive inverse and relative position on the number line.

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