Solve Multiple Operations: 400×(-4)÷(-16)÷(-6) Step-by-Step

Question

+400(4):16:6= +400\cdot(-4):-16:-6=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's write division as a fraction
00:17 Let's factor 16 into factors 4 and 4
00:27 Let's reduce what we can
00:34 Let's factor 400 into factors 100 and 4
00:41 Let's reduce what we can
00:48 Let's write division as a fraction
00:53 Positive divided by negative always equals negative
00:57 Let's break down 100 into 96 plus 4
01:16 Let's break into whole fraction and remainder
01:22 Let's factor 4 into factors 2 and 2, and 6 into factors 3 and 2
01:27 Let's reduce what we can
01:34 And this is the solution to the question

Step-by-Step Solution

Let's write the exercise in the following form:

400×(4)16:6= \frac{400\times(-4)}{-16}:-6=

Let's factor -16 in the denominator as a multiplication exercise:

400×(4)4×(4):6= \frac{400\times(-4)}{4\times(-4)}:-6=

Let's reduce -4 in both the numerator and denominator and get:

4004:6= \frac{400}{4}:-6=

Let's factor the 100 in the numerator as a multiplication exercise:

100×44:6= \frac{100\times4}{4}:-6=

Let's reduce the 4 in both the numerator and denominator and get:

100:6= 100:-6=

Let's write the exercise as a fraction:

1006= \frac{100}{-6}=

Note that we are dividing a positive number by a negative number, therefore the result must be negative.

Let's factor the 100 as an addition exercise:

96+46= -\frac{96+4}{6}=

Let's write the exercise in the following way:

(966+46)= -(\frac{96}{6}+\frac{4}{6})=

Let's solve the first fraction and in the second fraction let's factor the numerator and denominator as multiplication exercises:

(16+2×22×3)= -(16+\frac{2\times2}{2\times3})=

Let's reduce the 2 in both the numerator and denominator:

(16+23)= -(16+\frac{2}{3})=

Let's pay attention to the appropriate sign since we are multiplying by a negative number:

1623 -16\frac{2}{3}

Answer

1623 -16\frac{2}{3}