Conversion a decimal number to a fraction: 23.3456 = 233456/
10000
= 14591/
625
a) Write down the decimal 23.3456 divided by 1: 23.3456 = 23.3456/
1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
23.3456/
1
= 233.456/
10
= 2334.56/
100
= 23345.6/
1000
= 233456/
10000
Note: 233456/
10000
is called a decimal fraction.
c) Simplify and reduce the fraction
233456/
10000
= 14591 * 16/
625 * 16
= 14591 * 16/
625 * 16
= 14591/
625
Conversion a decimal number to a fraction: 6.89 = 689/
100
= 689/
100
a) Write down the decimal 6.89 divided by 1: 6.89 = 6.89/
1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
6.89/
1
= 68.9/
10
= 689/
100
Note: 689/
100
is called a decimal fraction.
c) Simplify and reduce the fraction
689/
100
= 172.25 * 4/
25 * 4
= 172.25 * 4/
25 * 4
= 172.25/
25
Add: 23.3456 + 6.89 = 14591/
625
+ 689/
100
= 14591 · 4/
625 · 4
+ 689 · 25/
100 · 25
= 58364/
2500
+ 17225/
2500
= 58364 + 17225/
2500
= 75589/
2500
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(625, 100) = 2500. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 625 × 100 = 62500. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - fourteen thousand five hundred ninety-one six-hundred twenty-fifths plus six hundred eighty-nine one-hundredths = seventy-five thousand five hundred eighty-nine over two thousand five hundred.
Answers & Comments
Answer:
30.2356
Step-by-step explanation:
Conversion a decimal number to a fraction: 23.3456 = 233456/
10000
= 14591/
625
a) Write down the decimal 23.3456 divided by 1: 23.3456 = 23.3456/
1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
23.3456/
1
= 233.456/
10
= 2334.56/
100
= 23345.6/
1000
= 233456/
10000
Note: 233456/
10000
is called a decimal fraction.
c) Simplify and reduce the fraction
233456/
10000
= 14591 * 16/
625 * 16
= 14591 * 16/
625 * 16
= 14591/
625
Conversion a decimal number to a fraction: 6.89 = 689/
100
= 689/
100
a) Write down the decimal 6.89 divided by 1: 6.89 = 6.89/
1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
6.89/
1
= 68.9/
10
= 689/
100
Note: 689/
100
is called a decimal fraction.
c) Simplify and reduce the fraction
689/
100
= 172.25 * 4/
25 * 4
= 172.25 * 4/
25 * 4
= 172.25/
25
Add: 23.3456 + 6.89 = 14591/
625
+ 689/
100
= 14591 · 4/
625 · 4
+ 689 · 25/
100 · 25
= 58364/
2500
+ 17225/
2500
= 58364 + 17225/
2500
= 75589/
2500
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(625, 100) = 2500. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 625 × 100 = 62500. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - fourteen thousand five hundred ninety-one six-hundred twenty-fifths plus six hundred eighty-nine one-hundredths = seventy-five thousand five hundred eighty-nine over two thousand five hundred.
23.3456+6.86= 27.2056