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$As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 16 Second number: 30 16*◻=30$

As a fraction in simplest terms, what would you multiply the first number by to get the second? $\newline$ First number: $16$ Second number: $30$ $\newline$ $16 \cdot \square=30$

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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:

16

Second number:

30

\newline

16 \cdot \square=30

Determine Fraction for Multiplication: Determine the fraction needed to multiply $16$ to get $30$ . To find this fraction, divide $30$ by $16$ . $\frac{30}{16} = 1.875$
Convert Decimal to Fraction: Convert the decimal $1.875$ to a fraction. $1.875$ can be expressed as $\frac{1875}{1000}$ .
Simplify Fraction: Simplify the fraction $\frac{1875}{1000}$ . Both the numerator and the denominator can be divided by $125$ . $1875 \div 125 = 15$ $1000 \div 125 = 8$ So, $\frac{1875}{1000}$ simplifies to $\frac{15}{8}$ .
Check Multiplication Result: Check that multiplying $16$ by the simplified fraction $\frac{15}{8}$ gives $30$ . $\newline$ $16 \times \left(\frac{15}{8}\right) = \left(\frac{16}{1}\right) \times \left(\frac{15}{8}\right) = \frac{16 \times 15}{1 \times 8} = \frac{240}{8} = 30$

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