Multiplying Decimals and Fractions
Grade 6 · Math · Fractions, Decimals, and Percents · California, USA
Lesson Summary
Multiply decimals by counting decimal places and multiply fractions by multiplying across the top and bottom.
Explanation
When multiplying decimals, multiply as if they were whole numbers, then count the total number of decimal places in both factors and place the decimal point in the product. For example, 0.3 times 0.4 equals 0.12. When multiplying fractions, multiply the numerators together and the denominators together: 2/3 times 4/5 equals 8/15. You can also simplify before you multiply by canceling common factors. These skills are used constantly in science, cooking, and finance.
Practice Questions
Q1: Multiply 0.6 by 0.7.
Answer: 0.42 (6 times 7 is 42, and there are two total decimal places).
Q2: Multiply 3/4 by 2/5.
Answer: 6/20, which simplifies to 3/10.
Q3: A garden plot is 2.5 meters long and 1.4 meters wide. What is its area?
Answer: 3.5 square meters (2.5 times 1.4).
People Also Ask
What is Multiplying Decimals and Fractions in Grade 6 Math?+
Multiplying Decimals and Fractions is a lesson in the Fractions, Decimals, and Percents chapter of Grade 6 Math. It is part of the California, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Multiplying Decimals and Fractions?+
Multiplying Decimals and Fractions is taught in Grade 6 as part of the Math curriculum in California, USA.
How can I help my child with Fractions, Decimals, and Percents 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 Fractions, Decimals, and Percents topics.