Operations with Fractions and Reciprocals

The video tutorial explains how to simplify a mathematical expression using the order of operations. It begins by finding a common denominator to subtract fractions, then demonstrates dividing fractions by multiplying with the reciprocal. The tutorial concludes by simplifying the resulting product to its simplest form, ensuring a clear understanding of each step involved in the process.

What is the first step in simplifying an expression according to the order of operations?

• Divide all terms

• Multiply all terms

• Simplify within the parentheses

• Add all numbers

What is the least common multiple of 7 and 5?

• 21

• 35

• 12

• 30

How do you convert 1/7 to an equivalent fraction with a denominator of 35?

• Multiply by 5

• Multiply by 7

• Multiply by 3

• Multiply by 2

What is the result of subtracting 1/5 from 1/7 when both are expressed with a common denominator?

• -1/35

• 2/35

• 1/35

• -2/35

What is the reciprocal of 3/14?

• 14/3

• 3/14

• 1/14

• 1/3

What operation is equivalent to dividing by a fraction?

• Dividing by the reciprocal

• Adding the reciprocal

• Subtracting the reciprocal

• Multiplying by the reciprocal

What common factor do 14 and 35 share?

• 3

• 7

• 2

• 5

What is the simplified form of the product of -2/35 and 14/3?

• -4/15

• -8/15

• -6/15

• -2/15

What is the final simplified expression of the given problem?

• -2/15

• -5/15

• -3/15

• -4/15

What is the result of multiplying -2 by 2 in the numerator?

• -6

• -4

• -2

• -8