# Khan/khan-exercises

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 Fraction word problems 1
randFromArray(smallDenominators) randRange(1, TOTAL - 2) randRange(1, TOTAL - A - 1) A + B TOTAL - EATEN i18n._("fraction of %(pizza__1__)s eaten", {pizza__1__: pizza( 1 )}) i18n._("number of slices eaten") i18n._("number of slices total") i18n._("number of slices remaining") i18n._("fraction of %(pizza__1__)s remaining", {pizza__1__: pizza( 1 )})

person(1) ate A slice of pizza(1). person(1) ate A slices of pizza(1). person(2) ate B slice. person(2) ate B slices.

If there were initially TOTAL slices of equal size, what fraction of the pizza(1) was eaten?

EATEN / TOTAL

\text{FRACTION_OF_PIZZAS_EATEN} = \dfrac{\text{NUMBER_OF_SLICES_EATEN}}{\text{NUMBER_OF_SLICES_TOTAL}}

\text{NUMBER_OF_SLICES_EATEN} = A + B = EATEN

init({ range: [ [-2, 2], [-2, 2] ], scale: 25 }); piechart([EATEN, TOTAL - EATEN], [BLUE, GRAY], 2);

They ate \blue{EATEN} out of TOTAL slices.

They ate \dfrac{EATEN}{TOTAL} of the pizza( 1 ).

If there were LEFT slice remaining and all the slices were the same size, what fraction of the pizza(1) was eaten? If there were LEFT slices remaining and all the slices were the same size, what fraction of the pizza(1) was eaten?

\text{FRACTION_OF_PIZZAS_EATEN} = \dfrac{\text{NUMBER_OF_SLICES_EATEN}}{\text{NUMBER_OF_SLICES_TOTAL}}

Since they ate EATEN slices of pizza(1) with LEFT slice remaining, they must have begun with TOTAL slices.

Since they ate EATEN slices of pizza(1) with LEFT slices remaining, they must have begun with TOTAL slices.

They ate \blue{EATEN} out of TOTAL slices.

init({ range: [ [-2, 2], [-2, 2] ], scale: 25 }); piechart([EATEN, TOTAL - EATEN], [BLUE, GRAY], 2);

They ate \dfrac{EATEN}{TOTAL} of the pizza(1).

If person(1) ate \dfrac{A}{TOTAL} of the pizza(1) and all the slices are the same size, what fraction of the pizza(1) was eaten in total?

\text{FRACTION_OF_PIZZAS_EATEN} = \dfrac{\text{NUMBER_OF_SLICES_EATEN}}{\text{NUMBER_OF_SLICES_TOTAL}}

If A slice represents \dfrac{A}{TOTAL} of the pizza(1), there must have been a total of TOTAL slices.

If A slices represents \dfrac{A}{TOTAL} of the pizza(1), there must have been a total of TOTAL slices.

\text{NUMBER_OF_SLICES_EATEN} = A + B = EATEN

They ate \blue{EATEN} out of TOTAL slices.

init({ range: [ [-2, 2], [-2, 2] ], scale: 25 }); piechart([EATEN, TOTAL - EATEN], [BLUE, GRAY], 2);

They ate \dfrac{EATEN}{TOTAL} of the pizza(1).

If there were initially TOTAL slices and all the slices are the same size, what fraction of the pizza(1) is remaining?

LEFT / TOTAL

\text{FRACTION_OF_PIZZAS_EATEN} = \dfrac{\text{NUMBER_OF_SLICES_REMAINING}}{\text{NUMBER_OF_SLICES_TOTAL}}

Together they ate EATEN slices, which leaves LEFT out of TOTAL slices remaining.

init({ range: [ [-2, 2], [-2, 2] ], scale: 25 }); var remaining = TOTAL - EATEN; piechart([remaining, TOTAL - remaining], [GRAY, BLUE], 2);

There is \dfrac{LEFT}{TOTAL} of the pizza(1) remaining.

If person(1) ate \dfrac{A}{TOTAL} of the pizza(1) and all the slices were the same size, what fraction of the pizza(1) remained after person(1) and person(2) had eaten?

LEFT / TOTAL

\text{FRACTION_OF_PIZZAS_REMAINING} = \dfrac{\text{NUMBER_OF_SLICES_REMAINING}}{\text{NUMBER_OF_SLICES_TOTAL}}

If A slice represents \dfrac{A}{TOTAL} of the pizza(1), there must have been a total of TOTAL slices.

If A slices represents \dfrac{A}{TOTAL} of the pizza(1), there must have been a total of TOTAL slices.

Together they ate EATEN slices, which leaves LEFT out of TOTAL slices remaining.

init({ range: [ [-2, 2], [-2, 2] ], scale: 25 }); var remaining = TOTAL - EATEN; piechart([remaining, TOTAL - remaining], [GRAY, BLUE], 2);

There is \dfrac{LEFT}{TOTAL} of the pizza( 1 ) remaining.