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2 years ago

What is 6 3/4 divided by 2 5/8?

Mathematics

2 answers:

Zinaida [17]2 years ago

6 0

Conversion a mixed number 6 3/4 to a improper fraction: 6 3/4 = 6 3/4 = 6 · 4 + 3/4 = 24 + 3/4 = 27/4.

To find new numerator:

Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4 = 24/4

Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

Write a previous answer (new numerator 27) over the denominator 4.

Six and three quarters is twenty-seven quarters

Conversion a mixed number 2 5/8

to a improper fraction: 2 5/8 = 2 5/8 = 2 · 8 + 5/8 = 16 + 5/8 = 21/8

To find new numerator:

Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/8 = 16/8

Add the answer from previous step 16 to the numerator 5. New numerator is 16 + 5 = 21.

Write a previous answer (new numerator 21) over the denominator 8.

Two and five eighths is twenty-one eighths

Divide: 27/4 : 21/8 = 27/4 · 8/21 = 27 · 8/4 · 21 = 216/84 = 12 · 18 /12 · 7 = 18/7

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 21/

8 is 8/21) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 12 gives 18/7.

In words - twenty-seven quarters divided by twenty-one eighths = eighteen sevenths.

Katena32 [7]2 years ago

4 0

Answer:

2 4/7!

Step-by-step explanation:

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Ten times the sum of half a number and 6 is 8

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Let the required number is 2x ,

According to the condition,

➡ 10 times the sum of half of 2x and 6 = 8

$= > 10 \times ( \frac{2x}{2} + 6) = 8 \\ \\ \\ = > 10 \times (x + 6) = 8 \\ \\ \\ = > 10x + 60 = 8 \\ \\ \\ = > 10x = 8 - 60 \\ \\ \\ = > 10x = - 52 \\ \\ \\ = > x = - \frac{ 52}{10} \\ \\ \\ = > x = - 5.2$

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2 years ago

Jaheem has a goal running a total of 125 miles this month. Each day that he ran, he ran 7 miles. Which expression could Jaheem u

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a. 125 – 7d

Step-by-step explanation:

Let d be the number of days.

<u>Given the following data;</u>

Total distance (month) = 125 miles

Distance covered per day = 7 miles

To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;

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