Answer:
≅ 18.0416667
Explanation:
5 7/8 + 4 1/3 + 7 5/6 =
1.Conversion a mixed number 5 7/8
to an improper fraction: 5 7/8 = 5 7/8
= 5 · 8 + 7/8
= 40 + 7/8
= 47/8
To find a new numerator:
a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 8/8 = 40/8
b) Add the answer from the previous step 40 to the numerator 7. New numerator is 40 + 7 = 47
c) Write a previous answer (new numerator 47) over the denominator 8.
Five and seven-eighths is forty-seven eighths.
2. Conversion a mixed number 4 1/3
to an 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 the 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 are thirteen-thirds.
3. Add: 47/8
+ 13/3
= 47 · 3/8 · 3
+ 13 · 8/3 · 8
= 141/24
+ 104/24
= 141 + 104/24
= 245/24
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - is LCM(8, 3) = 24. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 3 = 24. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - forty-seven eighths plus thirteen-thirds is two hundred forty-five twenty-fourths.
4. Conversion a mixed number 7 5/6
to an improper fraction: 7 5/6 = 7 5/6 = 7 · 6 + 5/6 = 42 + 5/6= 47/6
To find a new numerator:
a) Multiply the whole number 7 by the denominator 6. Whole number 7 equally 7 * 6/6= 42/6
b) Add the answer from the previous step 42 to the numerator 5. New numerator is 42 + 5 = 47
c) Write a previous answer (new numerator 47) over the denominator 6.
Seven and five-sixths are forty-seven-sixths.
5.Add: the result of step No. 3 + 47/6= 245/24 + 47/6 = 245/24 + 47 · 4/6 · 4 = 245/24 + 188/24 = 245 + 188/24 = 433/24
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - is LCM(24, 6) = 24. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 24 × 6 = 144. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - two hundred forty-five twenty-fourths plus forty-seven sixths are four hundred thirty-three twenty-fourths.