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%

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2