Find the following products. Use a unit square as a whole for representing the fractions. Class 7

Find the following products. Use a unit square as a whole for representing the fractions. Class 7

Question 1.

Find the following products. Use a unit square as a whole for representing the fractions and carrying out the operations.

(a) [latex]\frac {2}{3}[/latex] × [latex]\frac {4}{5}[/latex]

Solution:

[latex]\frac {2}{3}[/latex] × [latex]\frac {4}{5}[/latex] = [latex]\frac{2 \times 4}{3 \times 5}[/latex] = [latex]\frac {8}{15}[/latex]

(b) [latex]\frac {1}{4}[/latex] × [latex]\frac {2}{3}[/latex]

Solution:

[latex]\frac {1}{4}[/latex] × [latex]\frac {2}{3}[/latex]

= [latex]\frac{1 \times 2}{4 \times 3}[/latex] = [latex]\frac {2}{12}[/latex] = [latex]\frac {1}{6}[/latex]

(c) [latex]\frac {3}{5}[/latex] × [latex]\frac {1}{2}[/latex]

Solution:

[latex]\frac {3}{5}[/latex] × [latex]\frac {1}{2}[/latex] = [latex]\frac{3 \times 1}{5 \times 2}[/latex] = [latex]\frac {3}{10}[/latex]

(d) [latex]\frac {4}{6}[/latex] × [latex]\frac {3}{5}[/latex]

Solution:

[latex]\frac {4}{6}[/latex] × [latex]\frac {3}{5}[/latex] = [latex]\frac{4 \times 3}{6 \times 5}[/latex] = [latex]\frac {12}{30}[/latex] = [latex]\frac {2}{5}[/latex]