Operations with Fractions
Grade 7 · Math · Operations with Rational Numbers · Iowa, USA
Lesson Summary
Add, subtract, multiply, and divide fractions including negative fractions.
Explanation
To add or subtract fractions, first find a common denominator, then add or subtract the numerators. To multiply, multiply numerators together and denominators together. To divide, multiply by the reciprocal of the second fraction. The same sign rules for integers apply to fractions: two negatives make a positive and mixed signs make a negative.
Practice Questions
Q1: Calculate 2/3 + (−1/4).
Answer: Common denominator is 12: 8/12 + (−3/12) = 5/12.
Q2: Calculate (−3/5) × (5/9).
Answer: Multiply straight across: (−15/45) = −1/3.
Q3: Calculate (−1/2) ÷ (−3/4).
Answer: Multiply by the reciprocal: (−1/2) × (−4/3) = 4/6 = 2/3.
People Also Ask
What is Operations with Fractions in Grade 7 Math?+
Operations with Fractions is a lesson in the Operations with Rational Numbers chapter of Grade 7 Math. It is part of the Iowa, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Operations with Fractions?+
Operations with Fractions is taught in Grade 7 as part of the Math curriculum in Iowa, USA.
How can I help my child with Operations with Rational Numbers in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Operations with Rational Numbers topics.