Sure! Let's solve the expression step-by-step:
A) [tex]\( 23 \cdot \frac{10}{4} \cdot \frac{9}{36} \cdot 5.2 \)[/tex]
Step 1: Start by simplifying each fraction:
- [tex]\(\frac{10}{4} = 2.5\)[/tex]
- [tex]\(\frac{9}{36} = 0.25\)[/tex]
Step 2: Multiply [tex]\(23\)[/tex] by [tex]\(\frac{10}{4}\)[/tex]:
- [tex]\( 23 \cdot 2.5 = 57.5 \)[/tex]
Step 3: Multiply the result by [tex]\(\frac{9}{36}\)[/tex]:
- [tex]\( 57.5 \cdot 0.25 = 14.375 \)[/tex]
Step 4: Finally, multiply the last result by [tex]\(5.2\)[/tex]:
- [tex]\( 14.375 \cdot 5.2 = 74.75 \)[/tex]
So, the result of the expression [tex]\( 23 \cdot \frac{10}{4} \cdot \frac{9}{36} \cdot 5.2 \)[/tex] is [tex]\(74.75\)[/tex].
To summarize:
- [tex]\( 23 \cdot 2.5 = 57.5 \)[/tex]
- [tex]\( 57.5 \cdot 0.25 = 14.375 \)[/tex]
- [tex]\( 14.375 \cdot 5.2 = 74.75 \)[/tex]
Thus, the final result is [tex]\( 74.75 \)[/tex].
