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$123/23- 15$

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Add and subtract rational numbers

Full solution

Q.

123/23- 15

Convert to Fraction: Convert the whole number to a fraction with the same denominator as $\frac{123}{23}$ . To subtract $15$ from $\frac{123}{23}$ , we need to express $15$ as a fraction with the denominator $23$ . This is done by multiplying $15$ by $\frac{23}{23}$ , which is equal to $1$ , to get the equivalent fraction. $15 \times \left(\frac{23}{23}\right) = \frac{345}{23}$
Multiply to Get Equivalent Fraction: Subtract the two fractions. $\newline$ Now that both numbers are expressed as fractions with the same denominator, we can subtract them. $\newline$ $\frac{123}{23} - \frac{345}{23} = \frac{123 - 345}{23}$
Subtract Fractions: Perform the subtraction in the numerator. $\newline$ Subtract $345$ from $123$ to get the new numerator. $\newline$ $123 - 345 = -222$
Perform Subtraction: Write the result as a fraction. $\newline$ The result of the subtraction is the new numerator over the common denominator. $\newline$ $-\frac{222}{23}$

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