1 1/2 divided into 1 3/4

Answer :

[tex]\frac{1\frac{1}{2}}{1\frac{3}{4}}[/tex]

To divide those numbers you can write the mixed number as fractions:

1 and 1/2 is equal to (2/2+1/2)

[tex]1\frac{1}{2}=\frac{2}{2}+\frac{1}{2}=\frac{3}{2}[/tex]

1 and 3/4 is equal to (4/4 + 3/4):

[tex]1\frac{3}{4}=\frac{4}{4}+\frac{3}{4}=\frac{7}{4}[/tex]

Then, you have a division of fractions:

[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot d}{b\cdot c}[/tex][tex]\frac{\frac{3}{2}}{\frac{7}{4}}=\frac{3\cdot4}{2\cdot7}=\frac{12}{14}[/tex]

Simplify:

[tex]\frac{12}{14}=\frac{6}{7}[/tex]Then, 1 1/2 divided into 1 3/4 is equal to 6/7