simplify 3⅕ - 7⅒ - 4⅓ + 9
Answers
Answer:
(3 1/5) - (7 1/10) - (4 1/3) + 9 = 23/
30
≅ 0.7666667
Step-by-step explanation:
Conversion a mixed number 3 1/
5
to a improper fraction: 3 1/5 = 3 1/
5
= 3 · 5 + 1/
5
= 15 + 1/
5
= 16/
5
To find a new numerator:
a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/
5
= 15/
5
b) Add the answer from previous step 15 to the numerator 1. New numerator is 15 + 1 = 16
c) Write a previous answer (new numerator 16) over the denominator 5.
Three and one fifth is sixteen fifths
Conversion a mixed number 7 1/
10
to a improper fraction: 7 1/10 = 7 1/
10
= 7 · 10 + 1/
10
= 70 + 1/
10
= 71/
10
To find a new numerator:
a) Multiply the whole number 7 by the denominator 10. Whole number 7 equally 7 * 10/
10
= 70/
10
b) Add the answer from previous step 70 to the numerator 1. New numerator is 70 + 1 = 71
c) Write a previous answer (new numerator 71) over the denominator 10.
Seven and one tenth is seventy-one tenths
Subtract: 16/
5
- 71/
10
= 16 · 2/
5 · 2
- 71/
10
= 32/
10
- 71/
10
= 32 - 71/
10
= -39/
10
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(5, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 10 = 50. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - sixteen fifths minus seventy-one tenths = minus thirty-nine tenths.
Conversion a mixed number 4 1/
3
to a improper fraction: 4 1/3 = 4 1/
3
= 4 · 3 + 1/
3
= 12 + 1/
3
= 13/
3
To find a new numerator:
a) Multiply the whole number 4 by the denominator 3. Whole number 4 equally 4 * 3/
3
= 12/
3
b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
c) Write a previous answer (new numerator 13) over the denominator 3.
Four and one third is thirteen thirds
Subtract: the result of step No. 3 - 13/
3
= -39/
10
- 13/
3
= -39 · 3/
10 · 3
- 13 · 10/
3 · 10
= -117/
30
- 130/
30
= -117 - 130/
30
= -247/
30
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(10, 3) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 3 = 30. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus thirty-nine tenths minus thirteen thirds = minus two hundred forty-seven thirtieths.
Add: the result of step No. 5 + 9 = -247/
30
+ 9 = -247/
30
+ 9/
1
= -247/
30
+ 9 · 30/
1 · 30
= -247/
30
+ 270/
30
= -247 + 270/
30
= 23/
30
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(30, 1) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 30 × 1 = 30. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus two hundred forty-seven thirtieths plus nine = twenty-three thirtieths.