Answer:
1.5 - 1 1/5 = 3/
10
= 0.3
Explanation:
Conversion of a decimal number to a fraction: 1.5 = 15/
10
= 3/
2
a) Write down the decimal 1.5 divided by 1: 1.5 = 1.5/
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.)
1.5/
1
= 15/
10
Note: 15/
10
is called a decimal fraction.
c) Simplify and reduce the fraction
15/
10
= 3 * 5/
2 * 5
= 3 * 5/
2 * 5
= 3/
2
Conversion a mixed number 1 1/
5
to an improper fraction: 1 1/5 = 1 1/
5
= 1 · 5 + 1/
5
= 5 + 1/
5
= 6/
5
To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/
5
= 5/
5
b) Add the answer from the previous step 5 to the numerator 1. New numerator is 5 + 1 = 6
c) Write a previous answer (new numerator 6) over the denominator 5.
And one-fifth is six-fifths.
Subtract: 1.5 - 6/
5
= 3/
2
- 6/
5
= 3 · 5/
2 · 5
- 6 · 2/
5 · 2
= 15/
10
- 12/
10
= 15 - 12/
10
= 3/
10
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(2, 5) = 10. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - three halves minus six-fifths are three-tenths.
HOPE IT HELPS