Percentages And Fractions Math Games : Pipeng Free Online Software

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Pipeng Free Online Software : Percentages And Fractions Math Games

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Pipeng : Maths Numbers : Percentages Ratios Fractions And Proportion Maths Homework ALPHA Game Module

Percentages And Fractions Math Games

Description : Maths Numbers : fractions, percentages and ratios.

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Module List

ALPHA : Numbers : Fraction 01 : Fraction Simplifying : Alpha Maths Homework Game

Description : Simplify a fraction.

Discussion : Simplify the fraction by dividing the denominator and numerator by common factors.

Simplify A / B = C / D

C / D = A / B divided by common factors

rearranging

A = B * C / D

B = A * D / C

ALPHA : Numbers : Fraction 02 : Fraction Addition : Alpha Maths Homework Game

Description : Add two fractions.

Discussion : In order to add two fractions they must first be converted to a common denominator form. The two numerators can then be added together and the result simplified.

A / B + C / D = E / F

E / F = (A * D + C * B) /(B * D)

rearranging

A / B = (E * D - C * F) / (D * F)

C / D = (E * B - A * F) / (B * F)

ALPHA : Numbers : Fraction 03 : Fraction Multiplication : Alpha Maths Homework Game

Description : Multiply two fractions.

Discussion : To multiply two fractions simply multiply the numerators and the denominators. To divide by a fraction, simply multiply by the fraction inverse.

A / B * C / D = E / F

E / F = (A * C) /(B * D)

rearranging

A / B = (E * D) / (C * F)

C / D = (E * B) / (A * F)

ALPHA : Numbers : Fraction 04 : Fraction Of Quantity : Alpha Maths Homework Game

Description : Fraction of a quantity.

Discussion : To calculate a fraction of a quantity simply multiply the quantity times the fraction. To divide by a fraction, simply multiply by the fraction inverse (eg to divide by 2/3 multiply by 3/2).

A / B of C = D

D = A / B * C

rearranging

C = D * B / A

A = B * D / C

B = A * C / D

ALPHA : Numbers : Fraction 05 : Fraction From Percent : Alpha Maths Homework Game

Description : Fraction from percent.

Discussion : To calculate a fraction from a percent simply divide the percent by 100.

A % as a fraction = B / C

B / C = A / 100

rearranging

A = B / C * 100

ALPHA : Numbers : Percentage 01 : Percentage Of Quantity : Alpha Maths Homework Game

Description : Percentage of a quantity.

Discussion : Multiply the quantity by a percentage.

A % of B = C

C = A / 100 * B

rearranging

B = 100 * C / A

A = 100 * C / B

ALPHA : Numbers : Percentage 02 : Percentage From Decimal : Alpha Maths Homework Game

Description : Percentage from decimal.

Discussion : Convert a decimal number to a percentage.

A as % = B

B = A * 100

rearranging

A = B / 100

ALPHA : Numbers : Percentage 03 : Percentage From Fraction : Alpha Maths Homework Game

Description : Percentage from fraction.

Discussion : Convert a fraction to a percentage.

A / B as % = C

C = A / B * 100

rearranging

A = C * B / 100

B = A * 100 / C

ALPHA : Numbers : Percentage 04 : Percentage Increase Or Decrease : Alpha Maths Homework Game

Description : Percentage increase or decrease.

Discussion : Increase or decrease a quantity by a percentage (increase if the percentage is positive, decrease if the percentage is negative).

A increased or decreased by B % = C

C = A * (100 + B) / 100

rearranging

A = 100 * C / (100 + B)

B = 100 * C / A - 100

ALPHA : Numbers : Percentage 05 : Percentage From Ratio : Alpha Maths Homework Game

Description : Percentage from ratio.

Discussion : Calculate the percentage of A from the ratio of A to B.

% A from ratio A : B = C

C = A / (A + B) * 100

rearranging

A = B * C / (100 - C)

B = A * (100 - C) / C

ALPHA : Numbers : Proportion 01 : Proportion Of Number : Alpha Maths Homework Game

Description : Proportion of number.

Discussion : Calculate a multiple of a number from a known number with the same factor multiple proportions.

The game has 3 questions.

multiple

factor

difference

Given:

a1 x = z1

a2 x = z2

a1 x - a2 x = z3

The equations are :

z2 = z1 * a2 / a1

a2 = z2 * a1 / z1

z2 = a2 z3 / (a1 - a2)

ALPHA : Numbers : Ratio 01 : Ratio Simplifying : Alpha Maths Homework Game

Description : Simplify a ratio.

Discussion : Simplify the ratio by dividing both sides by common factors.

Simplify A : B = C : D

C : D = A : B divided by common factors

rearranging

A = B * C / D

B = A * D / C

ALPHA : Numbers : Ratio 02 : Ratio From Quantity : Alpha Maths Homework Game

Description : Ratio from a quantity.

Discussion : Calculate the ratio of A : B from the amount of a and the total quantity.

A : B = a : (t - a)

rearranging

a = A / (A + B) t

t = a (A + B) / A

where

A : B = ratio of a to b

a = amount of a

b = amount of b

t = total quantity = a + b

ALPHA : Numbers : Ratio 03 : Ratio From Fraction : Alpha Maths Homework Game

Description : Ratio from a fraction.

Discussion : Calculate the ratio of A : B from the fraction of a in the total.

Ratio A : B = a : t - a

rearranging

Fraction a / t = A / (A + B)

where

A : B = ratio of a to b

a = amount of a

b = amount of b

t = total amount = a + b

14 rows selected

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