6200/ 163 as a fraction

38 6/163

Step-by-step explanation:

163 fits into 6200 38 times left with a remainder of 6

A fraction consists of two numbers and a fraction bar: 6,200/163

The number above the bar is the numerator: 6,200

The number below the bar is the denominator: 163

The fraction bar means that the two numbers are dividing themselves:

6,200/163 = 6,200 ÷ 163

Divide the numerator by the denominator to get fraction's value:

Value = 6,200 ÷ 163

Introduction. Percent

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% = p/100 = p ÷ 100

Note:

The fraction 100/100 = 100 ÷ 100 = 100% = 1

Multiply a number by the fraction 100/100,

... and its value doesn't change.

To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF.

To calculate the greatest common factor, we build the prime factorization of the two numbers.

Integer numbers prime factorization:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

6,200 = 23 × 52 × 31;

6,200 is not a prime, is a composite number;

163 is a prime number, it cannot be broken down to other prime factors;

* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.

* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.

>> Integer numbers prime factorization

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

Multiply all the common prime factors, by the lowest exponents (if any).

But the two numbers have no common prime factors.

gcf, hcf, gcd (6,200; 163) = 1

coprime numbers (relatively prime)

>> Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd

Fraction's numerator and denominator are coprime numbers (no common prime factors). Fraction cannot be reduced (simplified) - irreducible.

6,200/163 is an improper fraction.

An improper fraction: numerator larger than denominator.

Rewrite the fraction:

As a mixed number (mixed fraction):

A mixed number (mixed fraction): a whole number and a proper fraction, of the same sign.

A proper fraction: numerator smaller than denominator.

6,200 ÷ 163 = 38 and remainder = 6 =>

6,200 = 38 × 163 + 6 =>

6,200/163 =

(38 × 163 + 6) / 163 =

(38 × 163) / 163 + 6 / 163 =

38 + 6/163 =

38 6/163

As a decimal number:

38 6/163 =

38 + 6/163 =

38 + 6 ÷ 163 ≈

38.036809815951 ≈

38.04

As a percentage:

38.036809815951 =

38.036809815951 × 100/100 =

3,803.680981595092/100 =

3,803.680981595092% ≈

3,803.68%

In other words:

1) Calculate fraction's value.

2) Multiply that number by 100.

3) Add the percent sign % to it.

Final answer

Final

:: written in four ways ::

As an improper fraction

(numerator larger than denominator):

6,200/163 = 6,200/163

As a mixed number (mixed fraction)

(a whole number and a proper fraction, of the same sign):

6,200/163 = 38 6/163

As a decimal number:

6,200/163 ≈ 38.036809815951 ≈ 38.04

As a percentage:

6,200/163 ≈ 3,803.68%

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.