Question

question 18
lesson 6-4: extra practice
solve 6.3d = 47.25.
d = __

Explanation:

Step1: Isolate the variable \( d \)

To solve for \( d \) in the equation \( 6.3d = 47.25 \), we divide both sides of the equation by \( 6.3 \). This is based on the division property of equality, which states that if \( a = b \), then \( \frac{a}{c}=\frac{b}{c} \) for \( c
eq0 \). So we have:
\( d=\frac{47.25}{6.3} \)

Step2: Perform the division

Calculate the value of \( \frac{47.25}{6.3} \). We can do this by long division or by converting the decimals to fractions. Let's convert them: \( 47.25=\frac{4725}{100} \) and \( 6.3 = \frac{63}{10} \). Then \( \frac{4725}{100}\div\frac{63}{10}=\frac{4725}{100}\times\frac{10}{63}=\frac{4725\times10}{100\times63}=\frac{47250}{6300} \). Simplifying this fraction (dividing numerator and denominator by 150) gives \( \frac{315}{42} \), and dividing 315 by 42 gives \( 7.5 \).

Answer:

\( 7.5 \)