Subtracting fractions with unlike denominators

Mathematics

1 answer:

lawyer [7]4 years ago

3 0

Answer:

3/12 or simplified 1/4

Step-by-step explanation:

First make the denominators the same. We can make 12 the common denominator. To make 3/4 have a denominator do the following:

Multiply the numerator and denominator by 3 since 4x3=12. The new number becomes 9/12.

Then subtract:

9/12-6/12=3/12 The numerator subtracts while the denominator stays the same.

We can simplify 3/12 to 1/4

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You have a part-time job paying $8.95/hr and your deductions are FICA (7.65%), federal tax withholding (9.3%), and state tax wit

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15 hrs a week at 8.95 per hr = (15 * 8.95) = 134.25 gross pay

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4 years ago

Sylvia earns $7 per hour at her after school job. After working one week, she received a paycheck for $91.

makvit [3.9K]

Answer:

a.) $hours=13$

b.) $h\leq 15$

c.) $ $$105$

Step-by-step explanation:

a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let h be the unknown number of hours:

$7h=91$

Solve for h. Divide both sides by 7:

$\frac{7h}{7}=\frac{91}{7}\\\\h=13$

Sylvia worked 13 hours at a rate of $7 an hour.

b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let h be hours:

$h\leq 15$

Sylvia can work less than or equal to 15 hours per week.

c.) If Sylvia can work 15 hours, plug in this value for h into an equation when she earns $7 per hour. Let the product of the hours and money equal t for total:

$t=7(15)\\t=105$