Answer :
To solve the problem of multiplying [tex]\( 9 \times \frac{5}{12} \)[/tex], let's go through it step-by-step:
1. Understand the problem: We need to compute the product of 9 and [tex]\( \frac{5}{12} \)[/tex].
2. Multiply directly:
[tex]\[
9 \times \frac{5}{12} = \frac{9 \times 5}{12}
\][/tex]
3. Perform the multiplication:
[tex]\[
9 \times 5 = 45
\][/tex]
4. Write the product as a fraction:
[tex]\[
\frac{45}{12}
\][/tex]
5. Check if the fraction can be simplified: In this case, [tex]\( \frac{45}{12} \)[/tex] can be simplified because both 45 and 12 have a common factor of 3.
[tex]\[
\frac{45 \div 3}{12 \div 3} = \frac{15}{4}
\][/tex]
6. Convert the simplified fraction to a decimal (if needed):
[tex]\[
\frac{15}{4} = 3.75
\][/tex]
So, the result of [tex]\( 9 \times \frac{5}{12} \)[/tex] can be written either as [tex]\( \frac{45}{12} \)[/tex] or as a decimal, 3.75.
1. Understand the problem: We need to compute the product of 9 and [tex]\( \frac{5}{12} \)[/tex].
2. Multiply directly:
[tex]\[
9 \times \frac{5}{12} = \frac{9 \times 5}{12}
\][/tex]
3. Perform the multiplication:
[tex]\[
9 \times 5 = 45
\][/tex]
4. Write the product as a fraction:
[tex]\[
\frac{45}{12}
\][/tex]
5. Check if the fraction can be simplified: In this case, [tex]\( \frac{45}{12} \)[/tex] can be simplified because both 45 and 12 have a common factor of 3.
[tex]\[
\frac{45 \div 3}{12 \div 3} = \frac{15}{4}
\][/tex]
6. Convert the simplified fraction to a decimal (if needed):
[tex]\[
\frac{15}{4} = 3.75
\][/tex]
So, the result of [tex]\( 9 \times \frac{5}{12} \)[/tex] can be written either as [tex]\( \frac{45}{12} \)[/tex] or as a decimal, 3.75.
