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$As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 12 Second number: 26 12*◻=26$

As a fraction in simplest terms, what would you multiply the first number by to get the second? $\newline$ First number: $12$ Second number: $26$ $\newline$ $12 \cdot \square=26$

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Add, subtract, multiply, or divide two fractions

Full solution

Q. As a fraction in simplest terms, what would you multiply the first number by to get the second?

\newline

First number:

12

Second number:

26

\newline

12 \cdot \square=26

Calculate Fraction: Determine the fraction needed to multiply $12$ to get $26$ . To find this fraction, divide $26$ by $12$ . $26 / 12 = 2.166666...$
Convert Decimal to Fraction: Express the decimal as a fraction. $2.166666\ldots$ is approximately $2$ and $\frac{1}{6}$ when expressed as a mixed number. To convert this to an improper fraction, multiply the whole number $2$ by the denominator $6$ and add the numerator $1$ . $(2 \times 6) + 1 = 13$ So, the fraction is $\frac{13}{6}$ .
Check Calculation: Check the calculation by multiplying the fraction by the first number. $\newline$ $12 \times \left(\frac{13}{6}\right) = \left(\frac{12}{1}\right) \times \left(\frac{13}{6}\right) = \left(\frac{12 \times 13}{1 \times 6}\right) = \frac{156}{6} = 26$ $\newline$ This confirms that the fraction $\frac{13}{6}$ , when multiplied by $12$ , gives $26$ .

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