Answer :
Answer:
15 times as much as 1 fifth of 12 is 36
Step-by-step explanation:
Given the statement: 15 times as much as 1 fifth of 12
or we can write this as:
15 times as much as 1/5 of 12
''of '' means multiply
"1/5 of 12" means [tex]\frac{1}{5} \times 12[/tex]
"times" means [tex]\times[/tex]
then;
[tex]15 \times (\frac{1}{5} \times 12)[/tex]
⇒[tex]15 \times \frac{12}{5}[/tex]
⇒[tex]3 \times 12 = 36[/tex]
Therefore, 15 times as much as 1 fifth of 12 is 36
- 15 x (¹/₅ x 12)
- The result is 36
Further explanation
The Problem:
- 15 times as much as 1 fifth of 12.
- Write an expression to match, and then evaluate.
The Process:
Here are some early expressions that need attention.
- 1 fifth is [tex]\boxed{\frac{1}{5}}[/tex]
- 1 fifth of 12 is [tex]\boxed{\frac{1}{5} \times 12}[/tex]
Let us write an expression to match for 15 times as much as 1 fifth of 12.
[tex]\boxed{\boxed{ \ 15 \times \bigg(\frac{1}{5} \times 12 \bigg) \ }}[/tex]
And now we evaluate the expression.
[tex]\boxed{ \ = 15 \times \bigg(\frac{1}{5} \times 12 \bigg) \ }[/tex]
[tex]\boxed{ \ = 15 \times \frac{12}{5} \ }[/tex]
We cross out 15 and 5 because they both can be divided.
[tex]\boxed{ \ = 3 \times \frac{12}{1} \ }[/tex]
[tex]\boxed{ \ = 3 \times 12 \ }[/tex]
[tex]\boxed{\boxed{ \ 36 \ }}[/tex]
Thus, the result is 36.
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Keywords: 15 times, as much as, 1 fifth of 12, write an expression to match, and then evaluate, cross out 15 and 5, because, they, both, can be divided, the result