High School

Select ALL statements that show correct reasoning for finding [tex]\frac{14}{15} \div \frac{7}{5}[/tex].

- Multiplying [tex]\frac{14}{15}[/tex] by [tex]5[/tex] and then by [tex]\frac{1}{7}[/tex].
- Dividing [tex]\frac{14}{15}[/tex] by [tex]5[/tex], and then multiplying by [tex]\frac{1}{7}[/tex].
- Multiplying [tex]\frac{14}{15}[/tex] by [tex]7[/tex], and then multiplying by [tex]\frac{1}{5}[/tex].
- Multiplying [tex]\frac{14}{15}[/tex] by [tex]5[/tex] and then dividing by [tex]7[/tex].

Answer :

Sum of first 2 expression is equal to the sum of last 3 expression.

What is expression?

In mathematics, expression is the combination of terms and operator that describe the system of mathematical operation in a symbolic form.

Terms can be numerical or both number and variables. In the given question, there are numerical terms along with multiplication and division operator. Hence, the question shows the numerical expressions.

How to do multiplication and division?

given, first, 14/15 ÷ 7/5

14/15 × 5/7 = 2/3

second, 14/15 × 5 =14/3

14/3 is multiplied by 1/7

14/3 × 1/7 = 2/3

third, dividing 14/15 by 5

14/15 ÷ 5 = 14/15 × 1/5 =14/ 75

now this result is multiplied by 1/7

14/75 × 1/7 = 2/75

Fourth, 14/15 × 7 = 98/15

next multiplied by 1/5

98/15 × 1/5 = 98/75

fifth 14/15 × 5 = 14/75

14/75 ÷ 7 = 2/75

If we add third, fourth and fifth expression we get = 2/75 +98/75+2/75

= 100/75 = 4/3

In the same way, if we add first and second expressions

we get = 2/3+2/3 = 4/3

To learn more about multiplication and division visit:

https://brainly.com/question/1292482

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