SUBTRACTION OF RATIONAL NUMBERS

Question

ScanSolve AI Tutor · Accepted Answer

The image is quite blurry, but I can decipher the first problem under "SUBTRACTION OF RATIONAL NUMBERS" as:
"1. Subtract $\frac{3}{4}$ from $\frac{1}{3}$ ."

Write the subtraction expression.
To subtract $\frac{3}{4}$ from $\frac{1}{3}$ , we write the expression as:
$\frac{1}{3} - \frac{3}{4}$
Find a common denominator for the fractions.
The denominators are 3 and 4. The least common multiple (LCM) of 3 and 4 is 12.
Convert the fractions to equivalent fractions with the common denominator.
For the first fraction, $\frac{1}{3}$ :
$\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$
For the second fraction, $\frac{3}{4}$ :
$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$
Perform the subtraction with the equivalent fractions.
$\frac{4}{12} - \frac{9}{12} = \frac{4 - 9}{12}$
Simplify the result.
$\frac{4 - 9}{12} = \frac{-5}{12}$
The result is already in its simplest form.

The final answer is $-\frac{5}{12}$ .

SUBTRACTION OF RATIONAL NUMBERS

Answer

Step-by-step solution

Write the subtraction expression.

Find a common denominator for the fractions.

Convert the fractions to equivalent fractions with the common denominator.

Perform the subtraction with the equivalent fractions.

Simplify the result.

Try one yourself

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