To solve the equation [tex]\(\frac{2}{7} \cdot d = 1400\)[/tex], we need to isolate the variable [tex]\(d\)[/tex]. Here are the step-by-step instructions for solving this equation:
1. Start with the equation:
[tex]\[
\frac{2}{7} \cdot d = 1400
\][/tex]
2. To isolate [tex]\(d\)[/tex], we need to eliminate the fraction [tex]\(\frac{2}{7}\)[/tex] by multiplying both sides of the equation by the reciprocal of [tex]\(\frac{2}{7}\)[/tex], which is [tex]\(\frac{7}{2}\)[/tex].
3. Multiply both sides of the equation by [tex]\(\frac{7}{2}\)[/tex]:
[tex]\[
d = 1400 \times \frac{7}{2}
\][/tex]
4. Carry out the multiplication on the right side:
[tex]\[
1400 \times \frac{7}{2}
\][/tex]
5. Simplify the multiplication:
[tex]\[
1400 \times \frac{7}{2} = 4900.0
\][/tex]
So, the value of [tex]\( d \)[/tex] is [tex]\( 4900.0 \)[/tex].
