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Step-by-step explanation:
To solve the problem of subtracting
1
12
12
1
teaspoon from
11
2
2
11
teaspoons, follow these steps:
1. **Convert the Given Values to a Common Denominator:**
Start with the quantities
11
2
2
11
and
1
12
12
1
. To make the subtraction easier, convert both fractions to have a common denominator. The least common denominator (LCD) for 2 and 12 is 12.
- Convert
11
2
2
11
to a fraction with the denominator of 12:
11
2
=
11
×
6
2
×
6
=
66
12
2
11
=
2×6
11×6
=
12
66
- The fraction
1
12
12
1
is already with a denominator of 12.
2. **Perform the Subtraction:**
Now subtract
1
12
12
1
from
66
12
12
66
:
66
12
−
1
12
=
66
−
1
12
=
65
12
12
66
−
12
1
=
12
66−1
=
12
65
3. **Convert the Result to a Decimal:**
To represent
65
12
12
65
as a decimal:
65
12
≈
5.416666666666667
12
65
≈5.416666666666667
4. **Verify Initial Amounts and Operations:**
- Initial amount:
11
2
=
5.5
2
11
=5.5
- Amount to subtract:
1
12
≈
0.08333333333333333
12
1
≈0.08333333333333333
5. **Final Result:**
The final result after subtracting
1
12
12
1
teaspoon from
11
2
2
11
teaspoons is approximately
5.416666666666667
5.416666666666667 teaspoons. The initial amount was
5.5
5.5 teaspoons, and
1
12
12
1
teaspoon is approximately
0.08333333333333333
0.08333333333333333 teaspoons.
So,
11
2
−
1
12
2
11
−
12
1
results in approximately
5.416666666666667
5.416666666666667 teaspoons.