Evaluate the following 35×36
Answers
Step-by-step explanation:
Ordinary fractions. Introduction
The fraction consists of two numbers and a fraction bar: - 35/36
Write the sign of the number in front of the fraction:
- 35/36 = - 35/36
The number above the bar is called numerator: 35
The number below the bar is called denominator: 36
The sign of the fraction: - (negative).
The fraction bar means that the two numbers are dividing themselves.
To get fraction's value divide the numerator by the denominator:
Value = - 35 ÷ 36
To reduce a fraction:
divide the numerator and denominator by their greatest common factor, GCF
To calculate the greatest common factor, GCF:
1. Build the prime factorizations of the numerator and denominator.
2. Multiply all the common prime factors, by the lowest exponents.
Factor both the numerator and the denominator, break them down to prime factors:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
35 = 5 × 7;
35 is a composite number;
In exponential notation:
36 = 2 × 2 × 3 × 3 = 22 × 32;
36 is a composite number;
* Positive integers that are only dividing by themselves and 1 are called prime numbers.
* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself
Calculate the greatest common factor, GCF:
Multiply all the common prime factors, by the lowest exponents.
But, the numerator and the denominator have no common factors.
gcf (5 × 7; 22 × 32) = 1
>> Calculate the greatest common factor, GCF, online calculator
The numerator and the denominator of the fraction are coprime numbers (no common prime factors, GCF = 1).
The fraction cannot be reduced (simplified): irreducible fraction.
Fraction - 35/36 is a negative proper fractions (|numerator| < |denominator|).
Rewrite the fraction:
As a decimal number:
- 35/36 =
- 35 ÷ 36 =
- 0.972222222222 ≈
- 0.97
As a percentage:
'Percent (%)' means 'out of one hundred'.
p% = p 'out of one hundred'.
p% = p/100 = p ÷ 100.
Fraction 100/100 = 100% = 100 ÷ 100 = 1
Multiply a number by the fraction 100/100 and its value doesn't change:
- 0.972222222222 =
- 0.972222222222 × 100/100 =
- 97.222222222222/100 =
- 97.222222222222% ≈
- 97.22%
In other words:
Calculate the fraction's value,
Multiply that number by 100,
Add the percent sign % to it.
>> Convert fractions to percentages, online calculator
The final answer:
:: written in three ways
As a negative proper fraction
(|numerator| < |denominator|):
- 35/36 = - 35/36
As a decimal number:
- 35/36 ≈ - 0.97
As a percentage:
- 35/36 ≈ - 97.22%
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