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1.9 Fractions

FRACTIONS: BITS AND PIECES

Fractions are used often, for instance when adding leftover pails of foam or mixing gas and oil for chain saw fuel. Fractions allow the use of parts of a number or combinations of parts and whole numbers, such as  half, two and a half, or two eights. The remainder found in long division can be changed to a fraction. Like whole numbers, fractions can be added, subtracted, divided, and multiplied. Fractions can also be represented as decimals (see Section 1.6).

A fraction consists of a numerator (top number) and a denominator (bottom number).

The numerator represents the number of parts available.

The denominator represents the number of parts in a whole.

Example 1 - What fraction of the box in the figure below is shaded? What fraction is not shaded?

fraction example

The box is divided into five parts. Two of those five parts are shaded. The shaded fraction represents two fifths. In this case, two fifths of the figure is shaded.
Three of the five parts are not shaded. The unshaded fraction represents three fifths. In this case, three fifths of the figure is not shaded.

WHOLE NUMBERS AS FRACTIONS

Fractions can also describe whole numbers or a whole number with a remainder expressed as a fraction. For example, a whole number can be written as: 

four over two, eight over four, or thirty-two over sixteen

 

The whole number 1 can be written as:

one over one, three over three, seven over seven, etc.

Fractions larger than 1 have a larger number in the numerator or top part of the fraction.

four thirds, eight fifths, and three seconds are all larger than 1.

NWCG Latest Announcements

Next Generation Position Task Book and Updated Incident Position Description Now Available for Operations Section Chief Complex

Date: February 27, 2025
Contact: Incident Operations Subcommittee

NWCG is excited to announce that Operations Section Chief Complex (OSCC) has a Next Generation NWCG Position Task Book for Operations Section Chief Complex (OSCC), PMS 311-108 and an updated Incident Position Description.

These resources support trainees, qualified personnel, and evaluators in their respective roles.

References:

NWCG Operations Section Chief Complex Position Page 

NWCG Operations Section Chief Complex Incident Position Description 

NWCG Position Task Book for Operations Section Chief Complex (OSCC), PMS 311-108 

2025 NWCG Incident Response Pocket Guide (IRPG), PMS 461, Now Available

Date: February 27, 2025
Contact: Incident Operations Subcommittee

NWCG is excited to announce that the 2025 NWCG Incident Response Pocket Guide (IRPG), PMS 461, is now available. Visit NWCG's website to learn about the major updates and changes in the 2025 version of the IRPG. The NWCG Guia de Respuesta de Incidente de Bolsillo (GRI), PMS 461-ES is available electronically and will be available from Great Basin Cache by early summer 2025.

All hard copy materials, including the IRPG, are ordered through the Great Basin Cache (GBK). Information on the ordering process can be found in the National Fire Equipment System (NFES) Catalog.

References:

2025 IRPG Information 

NWCG Incident Response Pocket Guide (IRPG), PMS 461 

NWCG Guia de Respuesta de Incidente de Bolsillo (GRI), PMS 461-ES 

NWCG NFES Catalog - Part 2: Publications, PMS 449-2 

2025 Professional Reading Program

Date: February 18, 2025
Contact: Wildland Fire Leadership Development Program (WFLDP)

The Wildland Fire Leadership Development Program is announcing the 2025 Professional Reading list! The goal of the annual reading list is to promote the reading and discussion of the books throughout the year.

The five books chosen for this year are: Surf When You Can by Brett Crozier, Man’s Search for Meaning by Viktor E. Frankl, Elephant Company by Vicki Constantine Croke, Simply Managing by Henry Mintzberg, and Chop Wood Carry Water by Joshua Metcalf.

References:

Professional Reading Program

Task Group Volunteers Needed to Update the Property Loss or Damage Report, OF 289

Date: February 5, 2025
Contact: Julie Bennett, Incident Business Committee Chair

The Incident Business Committee (IBC) is requesting volunteers for a new task group to revise the 1981 version of the Property Loss or Damage Report, OF 289 and create an incident replacement job aid. The volunteers may be recruited from within or outside the Geographic Area Incident Business Committees.

References:

IBC Memorandum 25-02

IBC Correspondence