subtract the sum of 3 3/4 (mixed fraction) and -2 9/22 (mixed fraction) from 1 16/33 (mixed fraction) and 5/66
Answer please!!!
Answers
Answer:
Step-by-step explanation:
Answer:
-29/132 or -0.219
Step-by-step explanation:
Conversion a mixed number 3 3/
4
to a improper fraction: 3 3/4 = 3 3/
4
= 3 · 4 + 3/
4
= 12 + 3/
4
= 15/
4
To find new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4
b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.
Three and three quarters is fifteen quarters
Conversion a mixed number -2 9/
22
to a improper fraction: -2 9/22 = -2 9/
22
= -2 · 22 + (-9)/
22
= -44 + (-9)/
22
= -53/
22
To find new numerator:
a) Multiply the whole number -2 by the denominator 22. Whole number -2 equally -2 * 22/
22
= -44/
22
b) Add the answer from previous step -44 to the numerator 9. New numerator is -44 + 9 = -35
c) Write a previous answer (new numerator -35) over the denominator 22.
Minus two and nine twenty-seconds is minus thirty-five twenty-seconds
Add: 15/
4
+ (-53/
22
) = 15 · 11/
4 · 11
+ (-53) · 2/
22 · 2
= 165/
44
+ (-106/
44
) = 165 + (-106)/
44
= 59/
44
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 22) = 44. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 22 = 88. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - fifteen quarters plus minus fifty-three twenty-seconds = fifty-nine forty-fourths.
Conversion a mixed number 1 16/
33
to a improper fraction: 1 16/33 = 1 16/
33
= 1 · 33 + 16/
33
= 33 + 16/
33
= 49/
33
To find new numerator:
a) Multiply the whole number 1 by the denominator 33. Whole number 1 equally 1 * 33/
33
= 33/
33
b) Add the answer from previous step 33 to the numerator 16. New numerator is 33 + 16 = 49
c) Write a previous answer (new numerator 49) over the denominator 33.
One and sixteen thirty-thirds is forty-nine thirty-thirds
Add: 49/
33
+ 5/
66
= 49 · 2/
33 · 2
+ 5/
66
= 98/
66
+ 5/
66
= 98 + 5/
66
= 103/
66
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(33, 66) = 66. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 33 × 66 = 2178. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - forty-nine thirty-thirds plus five sixty-sixths = one hundred three sixty-sixths.
Subtract: the result of step No. 3 - the result of step No. 5 = 59/
44
- 103/
66
= 59 · 3/
44 · 3
- 103 · 2/
66 · 2
= 177/
132
- 206/
132
= 177 - 206/
132
= -29/
132