Find the value of 1
Answers
Answer:
Conversion 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 a improper fraction: 1 1/5 = 1 1/
5
= 1 · 5 + 1/
5
= 5 + 1/
5
= 6/
5
To find 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 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.
One 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
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(2, 5) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - three halfs minus six fifths = three tenths.