Step 1a

Convert the whole number into a fraction by taking the denominator as 1: \$3/1\$.

Explanation: In this step, the whole number is converted into a fraction by setting the denominator as 1: \$3/1\$.

Step 1b

Make the denominator common. Since the denominator of \$25/4\$ is 4, the denominator of \$3/1\$ should also be 4.

By multiplying the numerator and denominator of \$3/1\$ with 4, we get \$(3 × 4)/(1 × 4) = 12/4\$.

Explanation: In this step, the denominator of \$25/4\$ is 4; we need to make the denominator of \$3/1\$ also 4. To do this, we multiply both the numerator and denominator of \$3/1\$ by 4, which gives us \$(3 × 4)/(1 × 4) = 12/4\$. So, \$3/1\$ becomes \$12/4\$.

Step 1c

Subtract the numerators: \$25/4 - 12/4 = 13/4 \$

Explanation: Subtract the fractions numerators \$25/4\$ and \$12/4\$ and provide the result as an equation.

The correct equation would be \$25/4 - 12/4 = 13/4\$.

Step 2a

Convert unlike fractions to like fractions: \$19/7 - 10/5\$ First, to find LCM of 7 and 5 is 35.

Explanation: In this step, we need to convert unlike fractions to like fractions. Solve \$19/7 - 12/5\$, we first need to find the LCM of 7 and 5, which is 35.

Step 2b

The least common multiple (LCM) of 7 and 5 is 35.

So, rewrite both fractions with the denominator 35:

\$19/7 \times 5/5 = 95/35\$

\$12/5 \times 7/7 = 84/35\$

Explanation: The least common multiple of 7 and 5 is 35. Both fractions are rewritten with the denominator 35: \$19/7 × 5/5\$ = \$95/35\$ and \$12/5 × 7/7\$ = \$84/35\$.

Step 2c

After finding a common denominator, subtract the numerators while keeping the denominator the same: \$95/35 - 84/35 = 11/35\$

So, \$95/35 - 84/35\$ is \$11/35\$

Explanation: Now that both fractions have the same denominator, we can simply subtract their numerators while keeping the denominator the same:\$95/35 - 84/35\$ is \$11/35\$.

Step 3a

First, convert the given mixed fractions into improper fractions:

\$4 15/20 = (80 + 15)/20 = 95/20\$

\$3 8/10 = (30 + 8)/10 = 38/10\$

Explanation: Convert the given mixed fractions to improper fractions.

Multiply 4 by 20 and then add 15. The result is 95. Multiply 3 by 10 and then add 8. The result is 38.

Step 3b

Add fractions with different denominators by finding the lowest common multiple of the denominators.

In this case, it’s 20 (the denominators are 10 and 20).

Explanation: Denominators are different. So, take the Least Common Multiple (LCM).

20 is a common multiple of 10 and 20.

Step 3c

To make the denominators equal, multiply \$2/2 \times 30/10\$ and \$1/1 \times 95/20\$.

This results in \$95/20\$ & \$76/20\$.

Explanation: In this step, to make the denominators equal, multiply \$2/2\$ by \$30/10\$ and \$1/1\$ by \$95/20\$.

This results in \$76/20\$ and \$95/20\$.

Step 3d

Subtract the numerators: \$95/20 - 76/20\$ = \$19/20\$.

Explanation: To find the difference of the fractions, subtract their numerators and keep the denominator as 20.The result is \$19/20\$.