Question

find the sum of the unit fractions.

1. 1/4 + 1/4 + 1/4 =
2. 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 =
3. 1/6 + 1/6 + 1/6 =
4. 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 =
5. 1/2 + 1/2 =
6. three circle diagrams with shaded parts
7. five circle diagrams with some shaded

other diagram - related questions

Explanation:

Problem 1: $\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$

Step1: Count the number of terms

There are 3 terms of $\frac{1}{4}$.

Step2: Multiply the fraction by the number of terms

$3 \times \frac{1}{4} = \frac{3}{4}$

Problem 2: $\frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8}$

Step1: Count the number of terms

There are 6 terms of $\frac{1}{8}$.

Step2: Multiply the fraction by the number of terms

$6 \times \frac{1}{8} = \frac{6}{8} = \frac{3}{4}$ (simplified)

Problem 3: $\frac{1}{6} + \frac{1}{6} + \frac{1}{6}$

Step1: Count the number of terms

There are 3 terms of $\frac{1}{6}$.

Step2: Multiply the fraction by the number of terms

$3 \times \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$ (simplified)

Problem 4: $\frac{1}{10} + \frac{1}{10} + \frac{1}{10} + \frac{1}{10} + \frac{1}{10} + \frac{1}{10} + \frac{1}{10} + \frac{1}{10}$ (assuming 8 terms, as the original has a typo)

Answer:

s:

1. $\boldsymbol{\frac{3}{4}}$
2. $\boldsymbol{\frac{3}{4}}$ (or $\frac{6}{8}$)
3. $\boldsymbol{\frac{1}{2}}$ (or $\frac{3}{6}$)
4. $\boldsymbol{\frac{4}{5}}$ (or $\frac{8}{10}$)
5. $\boldsymbol{1}$
6. $\boldsymbol{\frac{3}{4}}$
7. $\boldsymbol{\frac{25}{6}}$ (or $4\frac{1}{6}$)