Rosa says she can break this array(6 rows,8 in each row) into 3 different sets of two smaller arrays.Is Rosa correct.Explain
1 answer:
Answer:
Rosa is correct
Step-by-step explanation:
Rosa has array (6 rows and 8 columns). She can break this array into two smaller arrays in such ways:
- 1st array
(5 rows and 8 columns) and 2nd array
(1 row and 8 columns);
- 1st array
(4 rows and 8 columns) and 2nd array
(2 rows and 8 columns);
- 1st array
(3 rows and 8 columns) and 2nd array
- 1st array
(6 rows and 1 column) and 2nd array
(6 rows and 7 columns);
- 1st array
(6 rows and 2 columns) and 2nd array
(6 rows and 6 columns);
- 1st array
(6 rows and 3 columns) and 2nd array
(6 rows and 5 columns);
- 1st array
(6 rows and 4 columns) and 2nd array
So, there are even more than 3 different ways.
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3/4 times 7/9:
First, we must use the rule for multiplying fraction. The rule is: a/b times c/d = ac/ bd. Let's substitute our problem into that formation.
Second, we can now simplify. (3 times 7 = 21) and (4 times 9 = 36).
Third, since our fraction is not in the simplest form, we can simplify it down by listing the factors of both the numerator and denominator and then finding the greatest common factor (GCF).
Factors of 21: 1, 3, 7, 21
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
The GCF is 3, since only 1 and 3 were the common factors and since 3 is the greatest common factor.
Fourth, now we can divide our numerator (21) and denominator (36) by our recently found GCF which was 3.
Our new fraction in its simplest form is 7/12.
Answer in fraction form:
Answer in decimal form:
First, we must use the rule for multiplying fraction. The rule is: a/b times c/d = ac/ bd. Let's substitute our problem into that formation.
Second, we can now simplify. (3 times 7 = 21) and (4 times 9 = 36).
Third, since our fraction is not in the simplest form, we can simplify it down by listing the factors of both the numerator and denominator and then finding the greatest common factor (GCF).
Factors of 21: 1, 3, 7, 21
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
The GCF is 3, since only 1 and 3 were the common factors and since 3 is the greatest common factor.
Fourth, now we can divide our numerator (21) and denominator (36) by our recently found GCF which was 3.
Our new fraction in its simplest form is 7/12.
Answer in fraction form:
Answer in decimal form: