Question

Subtracting fractions with unlike denominators

Answer 1

Answer:

$\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}$

Step-by-step explanation:

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

LCD(9/4, 5/10) = 20

$(\frac{9}{4} * \frac{5}{5} ) - (\frac{5}{10} * \frac{2}{2} ) = ?$

Complete the multiplication and the equation becomes

$\frac{45}{20} - \frac{10}{20}$

The two fractions now have like denominators so you can subtract the numerators.

Then:

$\frac{45 - 10}{20} = \frac{35}{20}$

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 35 and 20 using

GCF(35,20) = 5

$\frac{35 / 5 }{20 / 5} = \frac{7}{4}$

The fraction

$\frac{7}{4}$

is the same as

7 ÷ 4

Therefore:

$\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}$

Apply the fractions formula for subtraction, to

$\frac{9}{4} - \frac{5}{10}$

and solve

$\frac{(9 * 10)- (5* 4) }{4 * 10}$

$= \frac{90-20}{40}$

$= \frac{70}{40}$

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(70,40) = 10

$\frac{70/ 10 }{40 / 10} = \frac{7}{4}$

Convert to a mixed number using

long division for 7 ÷ 4 = 1R3, so

$\frac{7}{4} = 1\frac{3}{4}$

Therefore:

$\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}$

Answer 2

your awnser will be 1 3/4