Solve: 5.25 × 2/3 × 7/21 - Decimal and Fraction Multiplication

Question

$5.25\cdot\frac{2}{3}\cdot\frac{7}{21}=\text{?}$

00:08 Let's solve this problem together.

00:11 First, convert the number from its numeric form to a mixed number.

00:20 Next, change the mixed number into a fraction.

00:24 Multiply the whole number by the denominator. Then, add the numerator. This is your fraction.

00:30 This fraction shows the whole number.

00:44 Let's simplify the problem to make it easier.

00:48 Reduce any numbers you can.

00:56 Remember, multiply the numerators together and the denominators together.

01:05 Break fourteen into twelve plus two.

01:09 Split the fraction into a whole number and the remainder.

01:15 And that's how we find the solution!

We first rewrite the decimal fraction in the form of a mixed fraction:

$5.25=5\frac{1}{4}$

We obtain the following exercise:

$5\frac{1}{4}\cdot\frac{2}{3}\cdot\frac{7}{21}=$

We write the mixed fraction as a simple fraction:

$5\frac{1}{4}=\frac{4\times5+1}{4}=\frac{20+1}{4}=\frac{21}{4}$

We obtain the following:

$\frac{21}{4}\cdot\frac{2}{3}\cdot\frac{7}{21}=$

We simplify the 21 and obtain:

$\frac{7}{4}\cdot\frac{2}{3}=\frac{14}{12}=\frac{12+2}{12}=1\frac{2}{12}=1\frac{1}{6}$

$1\frac{1}{6}$