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Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

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Chapter
Section
BuyFindarrow_forward

Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

Divide the following fractions and reduce to lowest terms.

4 4 5 ÷ 7 8

To determine

To calculate: The division of the expression 445÷78.

Explanation

Given information:

The provided expression is 445÷78.

Formula used:

Division method:

Step 1: If there are any mixed numbers or whole numbers in the expression then convert them into improper fraction and then put them in the expression.

Step 2: Identify the dividend and divisor in the given fractions. The number after ÷ sign is the divisor and before ÷ sign is the dividend.

Step 3: Change the “divided by” sign, ÷ to a “multiplied by” sign, × and invert the divisor fraction. Invert here means the denominator of divisor becomes the numerator and numerator of the divisor becomes the denominator.

Step 4: Simply write the multiplication of the obtained fractions.

Step 5: Find a common factor which divides at least one of the numerators and one of the denominators evenly.

Step 6: Divide the numerator and denominator by the corresponding common factor to reduce the expression.

Step 7: Repeat this process until there are no more common factors other than 1 are left.

Step 8: Now, multiply all the simplified numbers to get the lowest term.

Step 9: If the fraction obtained is an improper fraction then convert it into a whole or mixed number, otherwise if the fraction is proper fraction then stop.

Calculation:

Consider the expression, 445÷78

Convert the mixed number 445 into improper fraction:

445=

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