express 55 minutes as a fraction of 1 1/3
1 1/3 what? Hours? Days? Minutes?
hours
To express 55 minutes as a fraction of 1 1/3, you need to convert 55 minutes into a fraction with the same denominator as 1 1/3.
Step 1: Convert 1 1/3 to an improper fraction.
To do this, multiply the whole number (1) by the denominator (3) and then add the numerator (1). This gives us (1 * 3) + 1 = 4. Therefore, 1 1/3 is equivalent to 4/3.
Step 2: Find the equivalent fraction for 55 minutes with a denominator of 4.
Since 1 hour is equal to 60 minutes, we divide 55 minutes by 60 to get the fraction 55/60.
Step 3: Simplify the fraction.
Both 55 and 60 are divisible by 5. So, divide both the numerator and denominator of the fraction 55/60 by 5 to simplify it. This gives us 11/12 as the simplified fraction.
Step 4: Determine the equivalent fraction with a denominator of 4/3.
To convert the simplified fraction 11/12 into an equivalent fraction with a denominator of 4/3, we need to multiply both the numerator and denominator by the same value. In this case, we need to multiply both 11 and 12 by 4 to get 44/48.
Therefore, 55 minutes can be expressed as the fraction 44/48 of 1 1/3.