Question

(-7/8) ÷ (-3/6) = ?​

Answer 1

Answer:

0.375

Step-by-step explanation:

Here's how to subtract 3/6 from 7/8:

7 /8  −3 /6

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 7 by 6, and get 42.

Then we multiply 3 by 8, and get 24.

Next we give both terms new denominators -- 8 × 6 = 48.

So now our fractions look like this:

42 /48  −  24 /48

Step 2

Since our denominators match, we can subtract the numerators.

42 − 24 = 18

So the answer is:

18 /48

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

18 /48  ÷ 2 = 9 /24

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

9 /24  ÷ 3 = 3 /8

Let's try dividing by 3 again...

Nope! So now we try the next greatest prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

There you have it! The final answer is:

7 /8 −  3 /6

=3 /8

Answer 2

The answer is 7/4

GIVEN

Mathematical expression;

(-7/8) ÷ (-3/6).

TO FIND

To solve the given expression.

SOLUTION

We can simply solve the above problem as follows;

We are given a mathematical expression;

= (-7/8) ÷ (-3/6)

We are given the division of negative fractions.

Divisor = -7/8

Dividend = -3/6

When fractions are divided, the reciprocal of the dividend is multiplied by the divisor.

And,

We know that, When negative is divided to negative the quotient is positive.

Reciprocal of -3/6 = 6/-3

Simplifying the fraction = -2/1

The Division is carried as follows;

$- \frac{7}{8} \div \frac{ - 3}{6}$

$= \frac{ - 7}{8} \times - 2$

$= \frac{7}{4}$

Hence, The answer is 7/4

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