Question

3/8×(-2 2/3). -1,6× 5/8; -7/8×1 1/7; 4 2/3×(-3/14)

Answer 1

1) -1
2) -1
3) -1 3/8
4) -1

Answer 2

To solve these multiplication problems, we need to follow the order of operations, which is commonly remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Let's start with the first problem:

3/8 × (-2 2/3)

To multiply a mixed number, we first need to convert it into an improper fraction:

-2 2/3 = -8/3

Now we can multiply:

3/8 × (-8/3) = -1/2

Therefore, 3/8 × (-2 2/3) = -1/2.

Next, let's solve:

-1.6 × 5/8

We can simply multiply the two numbers:

-1.6 × 5/8 = -1

Therefore, -1.6 × 5/8 = -1.

Moving on to the third problem:

-7/8 × 1 1/7

Again, we need to convert the mixed number into an improper fraction:

1 1/7 = 8/7

Now we can multiply:

-7/8 × 8/7 = -1

Therefore, -7/8 × 1 1/7 = -1.

Finally, let's solve:

4 2/3 × (-3/14)

Once again, we need to convert the mixed number into an improper fraction:

4 2/3 = 14/3

Now we can multiply:

14/3 × (-3/14) = -1/3

Therefore, 4 2/3 × (-3/14) = -1/3.

So the final answers are:

-1/2, -1, -1, -1/3