Math Problem Statement

What will the next step be of the following: 2/3*1+5/6

Solution

To solve 23×1+56\frac{2}{3} \times 1 + \frac{5}{6}, follow these steps:

  1. Evaluate the multiplication first: 23×1=23\frac{2}{3} \times 1 = \frac{2}{3}

  2. Add 23\frac{2}{3} and 56\frac{5}{6}: To add these fractions, we need a common denominator. The least common multiple of 3 and 6 is 6.

    • Convert 23\frac{2}{3} to a fraction with a denominator of 6:
      23=46\frac{2}{3} = \frac{4}{6}
  3. Add 46\frac{4}{6} and 56\frac{5}{6}: 46+56=96=32=1.5\frac{4}{6} + \frac{5}{6} = \frac{9}{6} = \frac{3}{2} = 1.5

So, the result is 1.51.5.

Would you like further details on any step, or do you have additional questions?


  1. How can you find a common denominator when adding fractions?
  2. What happens if we multiply instead of add fractions with different denominators?
  3. Why is it necessary to simplify fractions?
  4. How can we convert improper fractions to mixed numbers?
  5. What are some examples of mixed fractions?

Tip: Always simplify fractions at the end of calculations for the most reduced form.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Multiplication of Fractions
Addition of Fractions
Simplification

Formulas

a/b * c = ac/b
a/b + c/d = (ad + bc)/bd

Theorems

-

Suitable Grade Level

Grades 5-7